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Finding the Fourth Proportional to 14,324.60, 21,461.30 and 8,846.20

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Solution

The fourth proportional to 14,324.60, 21,461.30 and 8,846.20 is: 13,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.60 : 21,461.30 = 8,846.20 : x
  2. Step 2: Convert to fraction form
    14,324.60/21,461.30 = 8,846.20/x
  3. Step 3: Cross multiply
    14,324.60x = 21,461.30 × 8,846.20
  4. Step 4: Simplify right side
    14,324.60x = 189,850,952.06
  5. Step 5: Solve for x
    x = 189,850,952.06/14,324.60
  6. Step 6: Final answer
    x = 13,253.49

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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.