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Finding the Fourth Proportional to 10,002,229.92, 14,978,461.68 and 6,996,339.36

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Solution

The fourth proportional to 10,002,229.92, 14,978,461.68 and 6,996,339.36 is: 10,477,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002,229.92 : 14,978,461.68 = 6,996,339.36 : x
  2. Step 2: Convert to fraction form
    10,002,229.92/14,978,461.68 = 6,996,339.36/x
  3. Step 3: Cross multiply
    10,002,229.92x = 14,978,461.68 × 6,996,339.36
  4. Step 4: Simplify right side
    10,002,229.92x = 104,794,401,004,035.73
  5. Step 5: Solve for x
    x = 104,794,401,004,035.73/10,002,229.92
  6. Step 6: Final answer
    x = 10,477,103.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.