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Finding the Fourth Proportional to 12,102,978.98, 16,701,624.74 and 6,596,235.69

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Solution

The fourth proportional to 12,102,978.98, 16,701,624.74 and 6,596,235.69 is: 9,102,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102,978.98 : 16,701,624.74 = 6,596,235.69 : x
  2. Step 2: Convert to fraction form
    12,102,978.98/16,701,624.74 = 6,596,235.69/x
  3. Step 3: Cross multiply
    12,102,978.98x = 16,701,624.74 × 6,596,235.69
  4. Step 4: Simplify right side
    12,102,978.98x = 110,167,853,207,465.56
  5. Step 5: Solve for x
    x = 110,167,853,207,465.56/12,102,978.98
  6. Step 6: Final answer
    x = 9,102,540.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.