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Finding the Fourth Proportional to 22,957.92, 34,449.84 and 9,809.28

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Solution

The fourth proportional to 22,957.92, 34,449.84 and 9,809.28 is: 14,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.92 : 34,449.84 = 9,809.28 : x
  2. Step 2: Convert to fraction form
    22,957.92/34,449.84 = 9,809.28/x
  3. Step 3: Cross multiply
    22,957.92x = 34,449.84 × 9,809.28
  4. Step 4: Simplify right side
    22,957.92x = 337,928,126.52
  5. Step 5: Solve for x
    x = 337,928,126.52/22,957.92
  6. Step 6: Final answer
    x = 14,719.46

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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.