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Finding the Fourth Proportional to 12,639.52, 18,961.68 and 5,714

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Solution

The fourth proportional to 12,639.52, 18,961.68 and 5,714 is: 8,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,639.52 : 18,961.68 = 5,714 : x
  2. Step 2: Convert to fraction form
    12,639.52/18,961.68 = 5,714/x
  3. Step 3: Cross multiply
    12,639.52x = 18,961.68 × 5,714
  4. Step 4: Simplify right side
    12,639.52x = 108,347,039.52
  5. Step 5: Solve for x
    x = 108,347,039.52/12,639.52
  6. Step 6: Final answer
    x = 8,572.08

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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.