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Finding the Fourth Proportional to 16,538.60, 24,827.10 and 9,972.20

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Solution

The fourth proportional to 16,538.60, 24,827.10 and 9,972.20 is: 14,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.60 : 24,827.10 = 9,972.20 : x
  2. Step 2: Convert to fraction form
    16,538.60/24,827.10 = 9,972.20/x
  3. Step 3: Cross multiply
    16,538.60x = 24,827.10 × 9,972.20
  4. Step 4: Simplify right side
    16,538.60x = 247,580,806.62
  5. Step 5: Solve for x
    x = 247,580,806.62/16,538.60
  6. Step 6: Final answer
    x = 14,969.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.