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Finding the Fourth Proportional to 16,344.60, 24,500.70 and 7,564.20

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Solution

The fourth proportional to 16,344.60, 24,500.70 and 7,564.20 is: 11,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.60 : 24,500.70 = 7,564.20 : x
  2. Step 2: Convert to fraction form
    16,344.60/24,500.70 = 7,564.20/x
  3. Step 3: Cross multiply
    16,344.60x = 24,500.70 × 7,564.20
  4. Step 4: Simplify right side
    16,344.60x = 185,328,194.94
  5. Step 5: Solve for x
    x = 185,328,194.94/16,344.60
  6. Step 6: Final answer
    x = 11,338.80

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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.