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Finding the Fourth Proportional to 13,714.92, 20,585.14 and 5,400.68

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Solution

The fourth proportional to 13,714.92, 20,585.14 and 5,400.68 is: 8,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.92 : 20,585.14 = 5,400.68 : x
  2. Step 2: Convert to fraction form
    13,714.92/20,585.14 = 5,400.68/x
  3. Step 3: Cross multiply
    13,714.92x = 20,585.14 × 5,400.68
  4. Step 4: Simplify right side
    13,714.92x = 111,173,637.47
  5. Step 5: Solve for x
    x = 111,173,637.47/13,714.92
  6. Step 6: Final answer
    x = 8,106.04

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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.