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Finding the Fourth Proportional to 13,143.20, 19,714.80 and 3,909.20

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Solution

The fourth proportional to 13,143.20, 19,714.80 and 3,909.20 is: 5,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.20 : 19,714.80 = 3,909.20 : x
  2. Step 2: Convert to fraction form
    13,143.20/19,714.80 = 3,909.20/x
  3. Step 3: Cross multiply
    13,143.20x = 19,714.80 × 3,909.20
  4. Step 4: Simplify right side
    13,143.20x = 77,069,096.16
  5. Step 5: Solve for x
    x = 77,069,096.16/13,143.20
  6. Step 6: Final answer
    x = 5,863.80

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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.