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Finding the Fourth Proportional to 24,864.57, 37,293.21 and 8,221.50

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Solution

The fourth proportional to 24,864.57, 37,293.21 and 8,221.50 is: 12,331.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864.57 : 37,293.21 = 8,221.50 : x
  2. Step 2: Convert to fraction form
    24,864.57/37,293.21 = 8,221.50/x
  3. Step 3: Cross multiply
    24,864.57x = 37,293.21 × 8,221.50
  4. Step 4: Simplify right side
    24,864.57x = 306,606,126.02
  5. Step 5: Solve for x
    x = 306,606,126.02/24,864.57
  6. Step 6: Final answer
    x = 12,331.04

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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.