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Finding the Fourth Proportional to 16,642.78, 22,967.20 and 9,472.35

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Solution

The fourth proportional to 16,642.78, 22,967.20 and 9,472.35 is: 13,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.78 : 22,967.20 = 9,472.35 : x
  2. Step 2: Convert to fraction form
    16,642.78/22,967.20 = 9,472.35/x
  3. Step 3: Cross multiply
    16,642.78x = 22,967.20 × 9,472.35
  4. Step 4: Simplify right side
    16,642.78x = 217,553,194.72
  5. Step 5: Solve for x
    x = 217,553,194.72/16,642.78
  6. Step 6: Final answer
    x = 13,071.92

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