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Finding the Fourth Proportional to 16,505.82, 22,777.92 and 9,432.18

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Solution

The fourth proportional to 16,505.82, 22,777.92 and 9,432.18 is: 13,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.82 : 22,777.92 = 9,432.18 : x
  2. Step 2: Convert to fraction form
    16,505.82/22,777.92 = 9,432.18/x
  3. Step 3: Cross multiply
    16,505.82x = 22,777.92 × 9,432.18
  4. Step 4: Simplify right side
    16,505.82x = 214,845,441.47
  5. Step 5: Solve for x
    x = 214,845,441.47/16,505.82
  6. Step 6: Final answer
    x = 13,016.34

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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.