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Finding the Fourth Proportional to 16,506.92, 24,743 and 5,410.72

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Solution

The fourth proportional to 16,506.92, 24,743 and 5,410.72 is: 8,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.92 : 24,743 = 5,410.72 : x
  2. Step 2: Convert to fraction form
    16,506.92/24,743 = 5,410.72/x
  3. Step 3: Cross multiply
    16,506.92x = 24,743 × 5,410.72
  4. Step 4: Simplify right side
    16,506.92x = 133,877,444.96
  5. Step 5: Solve for x
    x = 133,877,444.96/16,506.92
  6. Step 6: Final answer
    x = 8,110.38

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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.