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Finding the Fourth Proportional to 23,240.32, 34,864 and 9,388.80

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Solution

The fourth proportional to 23,240.32, 34,864 and 9,388.80 is: 14,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,240.32 : 34,864 = 9,388.80 : x
  2. Step 2: Convert to fraction form
    23,240.32/34,864 = 9,388.80/x
  3. Step 3: Cross multiply
    23,240.32x = 34,864 × 9,388.80
  4. Step 4: Simplify right side
    23,240.32x = 327,331,123.20
  5. Step 5: Solve for x
    x = 327,331,123.20/23,240.32
  6. Step 6: Final answer
    x = 14,084.62

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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.