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Finding the Fourth Proportional to 23,377.92, 32,257.92 and 13,440

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Solution

The fourth proportional to 23,377.92, 32,257.92 and 13,440 is: 18,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,377.92 : 32,257.92 = 13,440 : x
  2. Step 2: Convert to fraction form
    23,377.92/32,257.92 = 13,440/x
  3. Step 3: Cross multiply
    23,377.92x = 32,257.92 × 13,440
  4. Step 4: Simplify right side
    23,377.92x = 433,546,444.80
  5. Step 5: Solve for x
    x = 433,546,444.80/23,377.92
  6. Step 6: Final answer
    x = 18,545.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.