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Finding the Fourth Proportional to 24,292.50, 36,405.72 and 15,507.96

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Solution

The fourth proportional to 24,292.50, 36,405.72 and 15,507.96 is: 23,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.50 : 36,405.72 = 15,507.96 : x
  2. Step 2: Convert to fraction form
    24,292.50/36,405.72 = 15,507.96/x
  3. Step 3: Cross multiply
    24,292.50x = 36,405.72 × 15,507.96
  4. Step 4: Simplify right side
    24,292.50x = 564,578,449.53
  5. Step 5: Solve for x
    x = 564,578,449.53/24,292.50
  6. Step 6: Final answer
    x = 23,240.85

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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.