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Finding the Fourth Proportional to 24,295.80, 36,448.63 and 10,255.87

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Solution

The fourth proportional to 24,295.80, 36,448.63 and 10,255.87 is: 15,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,295.80 : 36,448.63 = 10,255.87 : x
  2. Step 2: Convert to fraction form
    24,295.80/36,448.63 = 10,255.87/x
  3. Step 3: Cross multiply
    24,295.80x = 36,448.63 × 10,255.87
  4. Step 4: Simplify right side
    24,295.80x = 373,812,283.54
  5. Step 5: Solve for x
    x = 373,812,283.54/24,295.80
  6. Step 6: Final answer
    x = 15,385.88

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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.