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Finding the Fourth Proportional to 24,497.28, 36,752.78 and 7,858.28

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Solution

The fourth proportional to 24,497.28, 36,752.78 and 7,858.28 is: 11,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.28 : 36,752.78 = 7,858.28 : x
  2. Step 2: Convert to fraction form
    24,497.28/36,752.78 = 7,858.28/x
  3. Step 3: Cross multiply
    24,497.28x = 36,752.78 × 7,858.28
  4. Step 4: Simplify right side
    24,497.28x = 288,813,636.02
  5. Step 5: Solve for x
    x = 288,813,636.02/24,497.28
  6. Step 6: Final answer
    x = 11,789.62

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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.