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Finding the Fourth Proportional to 16,539.60, 24,817.91 and 9,142.68

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Solution

The fourth proportional to 16,539.60, 24,817.91 and 9,142.68 is: 13,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.60 : 24,817.91 = 9,142.68 : x
  2. Step 2: Convert to fraction form
    16,539.60/24,817.91 = 9,142.68/x
  3. Step 3: Cross multiply
    16,539.60x = 24,817.91 × 9,142.68
  4. Step 4: Simplify right side
    16,539.60x = 226,902,209.40
  5. Step 5: Solve for x
    x = 226,902,209.40/16,539.60
  6. Step 6: Final answer
    x = 13,718.72

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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.