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Finding the Fourth Proportional to 16,232.70, 24,337.05 and 8,447.10

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Solution

The fourth proportional to 16,232.70, 24,337.05 and 8,447.10 is: 12,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.70 : 24,337.05 = 8,447.10 : x
  2. Step 2: Convert to fraction form
    16,232.70/24,337.05 = 8,447.10/x
  3. Step 3: Cross multiply
    16,232.70x = 24,337.05 × 8,447.10
  4. Step 4: Simplify right side
    16,232.70x = 205,577,495.06
  5. Step 5: Solve for x
    x = 205,577,495.06/16,232.70
  6. Step 6: Final answer
    x = 12,664.41

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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.