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Finding the Fourth Proportional to 16,524, 24,769.60 and 9,131.94

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Solution

The fourth proportional to 16,524, 24,769.60 and 9,131.94 is: 13,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524 : 24,769.60 = 9,131.94 : x
  2. Step 2: Convert to fraction form
    16,524/24,769.60 = 9,131.94/x
  3. Step 3: Cross multiply
    16,524x = 24,769.60 × 9,131.94
  4. Step 4: Simplify right side
    16,524x = 226,194,478.19
  5. Step 5: Solve for x
    x = 226,194,478.19/16,524
  6. Step 6: Final answer
    x = 13,688.85

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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.