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Finding the Fourth Proportional to 16,612.38, 22,924.13 and 9,538.34

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Solution

The fourth proportional to 16,612.38, 22,924.13 and 9,538.34 is: 13,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,612.38 : 22,924.13 = 9,538.34 : x
  2. Step 2: Convert to fraction form
    16,612.38/22,924.13 = 9,538.34/x
  3. Step 3: Cross multiply
    16,612.38x = 22,924.13 × 9,538.34
  4. Step 4: Simplify right side
    16,612.38x = 218,657,983.83
  5. Step 5: Solve for x
    x = 218,657,983.83/16,612.38
  6. Step 6: Final answer
    x = 13,162.35

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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.