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Finding the Fourth Proportional to 24,388.97, 36,579.20 and 6,854.63

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Solution

The fourth proportional to 24,388.97, 36,579.20 and 6,854.63 is: 10,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388.97 : 36,579.20 = 6,854.63 : x
  2. Step 2: Convert to fraction form
    24,388.97/36,579.20 = 6,854.63/x
  3. Step 3: Cross multiply
    24,388.97x = 36,579.20 × 6,854.63
  4. Step 4: Simplify right side
    24,388.97x = 250,736,664.53
  5. Step 5: Solve for x
    x = 250,736,664.53/24,388.97
  6. Step 6: Final answer
    x = 10,280.74

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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.