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Finding the Fourth Proportional to 13,714.88, 20,573.52 and 3,854.24

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Solution

The fourth proportional to 13,714.88, 20,573.52 and 3,854.24 is: 5,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.88 : 20,573.52 = 3,854.24 : x
  2. Step 2: Convert to fraction form
    13,714.88/20,573.52 = 3,854.24/x
  3. Step 3: Cross multiply
    13,714.88x = 20,573.52 × 3,854.24
  4. Step 4: Simplify right side
    13,714.88x = 79,295,283.72
  5. Step 5: Solve for x
    x = 79,295,283.72/13,714.88
  6. Step 6: Final answer
    x = 5,781.70

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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.