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Finding the Fourth Proportional to 14,680.92, 22,024.68 and 7,287.24

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Solution

The fourth proportional to 14,680.92, 22,024.68 and 7,287.24 is: 10,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680.92 : 22,024.68 = 7,287.24 : x
  2. Step 2: Convert to fraction form
    14,680.92/22,024.68 = 7,287.24/x
  3. Step 3: Cross multiply
    14,680.92x = 22,024.68 × 7,287.24
  4. Step 4: Simplify right side
    14,680.92x = 160,499,129.08
  5. Step 5: Solve for x
    x = 160,499,129.08/14,680.92
  6. Step 6: Final answer
    x = 10,932.50

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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.