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Finding the Fourth Proportional to 15,238.62, 22,861.42 and 6,355.50

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Solution

The fourth proportional to 15,238.62, 22,861.42 and 6,355.50 is: 9,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.62 : 22,861.42 = 6,355.50 : x
  2. Step 2: Convert to fraction form
    15,238.62/22,861.42 = 6,355.50/x
  3. Step 3: Cross multiply
    15,238.62x = 22,861.42 × 6,355.50
  4. Step 4: Simplify right side
    15,238.62x = 145,295,754.81
  5. Step 5: Solve for x
    x = 145,295,754.81/15,238.62
  6. Step 6: Final answer
    x = 9,534.71

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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.