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Finding the Fourth Proportional to 24,639.57, 36,987 and 9,858.81

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Solution

The fourth proportional to 24,639.57, 36,987 and 9,858.81 is: 14,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,639.57 : 36,987 = 9,858.81 : x
  2. Step 2: Convert to fraction form
    24,639.57/36,987 = 9,858.81/x
  3. Step 3: Cross multiply
    24,639.57x = 36,987 × 9,858.81
  4. Step 4: Simplify right side
    24,639.57x = 364,647,805.47
  5. Step 5: Solve for x
    x = 364,647,805.47/24,639.57
  6. Step 6: Final answer
    x = 14,799.28

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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.