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Finding the Fourth Proportional to 24,566.28, 36,868.86 and 10,725

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Solution

The fourth proportional to 24,566.28, 36,868.86 and 10,725 is: 16,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,566.28 : 36,868.86 = 10,725 : x
  2. Step 2: Convert to fraction form
    24,566.28/36,868.86 = 10,725/x
  3. Step 3: Cross multiply
    24,566.28x = 36,868.86 × 10,725
  4. Step 4: Simplify right side
    24,566.28x = 395,418,523.50
  5. Step 5: Solve for x
    x = 395,418,523.50/24,566.28
  6. Step 6: Final answer
    x = 16,095.99

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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.