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Finding the Fourth Proportional to 15,854.80, 23,782.12 and 4,008.57

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Solution

The fourth proportional to 15,854.80, 23,782.12 and 4,008.57 is: 6,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.80 : 23,782.12 = 4,008.57 : x
  2. Step 2: Convert to fraction form
    15,854.80/23,782.12 = 4,008.57/x
  3. Step 3: Cross multiply
    15,854.80x = 23,782.12 × 4,008.57
  4. Step 4: Simplify right side
    15,854.80x = 95,332,272.73
  5. Step 5: Solve for x
    x = 95,332,272.73/15,854.80
  6. Step 6: Final answer
    x = 6,012.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.