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Finding the Fourth Proportional to 16,040.16, 24,060.96 and 5,652

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Solution

The fourth proportional to 16,040.16, 24,060.96 and 5,652 is: 8,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040.16 : 24,060.96 = 5,652 : x
  2. Step 2: Convert to fraction form
    16,040.16/24,060.96 = 5,652/x
  3. Step 3: Cross multiply
    16,040.16x = 24,060.96 × 5,652
  4. Step 4: Simplify right side
    16,040.16x = 135,992,545.92
  5. Step 5: Solve for x
    x = 135,992,545.92/16,040.16
  6. Step 6: Final answer
    x = 8,478.25

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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.