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Finding the Fourth Proportional to 15,854.76, 23,782.14 and 4,761.42

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Solution

The fourth proportional to 15,854.76, 23,782.14 and 4,761.42 is: 7,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.76 : 23,782.14 = 4,761.42 : x
  2. Step 2: Convert to fraction form
    15,854.76/23,782.14 = 4,761.42/x
  3. Step 3: Cross multiply
    15,854.76x = 23,782.14 × 4,761.42
  4. Step 4: Simplify right side
    15,854.76x = 113,236,757.04
  5. Step 5: Solve for x
    x = 113,236,757.04/15,854.76
  6. Step 6: Final answer
    x = 7,142.13

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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.