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Finding the Fourth Proportional to 16,652.64, 24,978.61 and 5,407.97

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Solution

The fourth proportional to 16,652.64, 24,978.61 and 5,407.97 is: 8,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.64 : 24,978.61 = 5,407.97 : x
  2. Step 2: Convert to fraction form
    16,652.64/24,978.61 = 5,407.97/x
  3. Step 3: Cross multiply
    16,652.64x = 24,978.61 × 5,407.97
  4. Step 4: Simplify right side
    16,652.64x = 135,083,424.97
  5. Step 5: Solve for x
    x = 135,083,424.97/16,652.64
  6. Step 6: Final answer
    x = 8,111.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.