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Finding the Fourth Proportional to 16,232.34, 24,349.89 and 5,701.44

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Solution

The fourth proportional to 16,232.34, 24,349.89 and 5,701.44 is: 8,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.34 : 24,349.89 = 5,701.44 : x
  2. Step 2: Convert to fraction form
    16,232.34/24,349.89 = 5,701.44/x
  3. Step 3: Cross multiply
    16,232.34x = 24,349.89 × 5,701.44
  4. Step 4: Simplify right side
    16,232.34x = 138,829,436.84
  5. Step 5: Solve for x
    x = 138,829,436.84/16,232.34
  6. Step 6: Final answer
    x = 8,552.65

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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.