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Finding the Fourth Proportional to 23,861.40, 32,929.38 and 13,250.40

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Solution

The fourth proportional to 23,861.40, 32,929.38 and 13,250.40 is: 18,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.40 : 32,929.38 = 13,250.40 : x
  2. Step 2: Convert to fraction form
    23,861.40/32,929.38 = 13,250.40/x
  3. Step 3: Cross multiply
    23,861.40x = 32,929.38 × 13,250.40
  4. Step 4: Simplify right side
    23,861.40x = 436,327,456.75
  5. Step 5: Solve for x
    x = 436,327,456.75/23,861.40
  6. Step 6: Final answer
    x = 18,285.91

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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.