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Finding the Fourth Proportional to 16,553.52, 22,842.84 and 9,478.32

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Solution

The fourth proportional to 16,553.52, 22,842.84 and 9,478.32 is: 13,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.52 : 22,842.84 = 9,478.32 : x
  2. Step 2: Convert to fraction form
    16,553.52/22,842.84 = 9,478.32/x
  3. Step 3: Cross multiply
    16,553.52x = 22,842.84 × 9,478.32
  4. Step 4: Simplify right side
    16,553.52x = 216,511,747.23
  5. Step 5: Solve for x
    x = 216,511,747.23/16,553.52
  6. Step 6: Final answer
    x = 13,079.50

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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.