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Finding the Fourth Proportional to 13,487.63, 20,233.76 and 4,127.42

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Solution

The fourth proportional to 13,487.63, 20,233.76 and 4,127.42 is: 6,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.63 : 20,233.76 = 4,127.42 : x
  2. Step 2: Convert to fraction form
    13,487.63/20,233.76 = 4,127.42/x
  3. Step 3: Cross multiply
    13,487.63x = 20,233.76 × 4,127.42
  4. Step 4: Simplify right side
    13,487.63x = 83,513,175.11
  5. Step 5: Solve for x
    x = 83,513,175.11/13,487.63
  6. Step 6: Final answer
    x = 6,191.83

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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.