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Finding the Fourth Proportional to 13,500.30, 20,238.84 and 5,714.58

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Solution

The fourth proportional to 13,500.30, 20,238.84 and 5,714.58 is: 8,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.30 : 20,238.84 = 5,714.58 : x
  2. Step 2: Convert to fraction form
    13,500.30/20,238.84 = 5,714.58/x
  3. Step 3: Cross multiply
    13,500.30x = 20,238.84 × 5,714.58
  4. Step 4: Simplify right side
    13,500.30x = 115,656,470.29
  5. Step 5: Solve for x
    x = 115,656,470.29/13,500.30
  6. Step 6: Final answer
    x = 8,566.96

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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.