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Finding the Fourth Proportional to 25,503.68, 38,257.86 and 9,922.52

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Solution

The fourth proportional to 25,503.68, 38,257.86 and 9,922.52 is: 14,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,503.68 : 38,257.86 = 9,922.52 : x
  2. Step 2: Convert to fraction form
    25,503.68/38,257.86 = 9,922.52/x
  3. Step 3: Cross multiply
    25,503.68x = 38,257.86 × 9,922.52
  4. Step 4: Simplify right side
    25,503.68x = 379,614,381.01
  5. Step 5: Solve for x
    x = 379,614,381.01/25,503.68
  6. Step 6: Final answer
    x = 14,884.69

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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.