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Finding the Fourth Proportional to 16,253.29, 24,381.30 and 5,157

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Solution

The fourth proportional to 16,253.29, 24,381.30 and 5,157 is: 7,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.29 : 24,381.30 = 5,157 : x
  2. Step 2: Convert to fraction form
    16,253.29/24,381.30 = 5,157/x
  3. Step 3: Cross multiply
    16,253.29x = 24,381.30 × 5,157
  4. Step 4: Simplify right side
    16,253.29x = 125,734,383.44
  5. Step 5: Solve for x
    x = 125,734,383.44/16,253.29
  6. Step 6: Final answer
    x = 7,735.93

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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.