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Finding the Fourth Proportional to 20,462.46, 30,687.54 and 13,442.19

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Solution

The fourth proportional to 20,462.46, 30,687.54 and 13,442.19 is: 20,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.46 : 30,687.54 = 13,442.19 : x
  2. Step 2: Convert to fraction form
    20,462.46/30,687.54 = 13,442.19/x
  3. Step 3: Cross multiply
    20,462.46x = 30,687.54 × 13,442.19
  4. Step 4: Simplify right side
    20,462.46x = 412,507,743.31
  5. Step 5: Solve for x
    x = 412,507,743.31/20,462.46
  6. Step 6: Final answer
    x = 20,159.24

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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.