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Finding the Fourth Proportional to 13,937.48, 20,906.14 and 3,407.56

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Solution

The fourth proportional to 13,937.48, 20,906.14 and 3,407.56 is: 5,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.48 : 20,906.14 = 3,407.56 : x
  2. Step 2: Convert to fraction form
    13,937.48/20,906.14 = 3,407.56/x
  3. Step 3: Cross multiply
    13,937.48x = 20,906.14 × 3,407.56
  4. Step 4: Simplify right side
    13,937.48x = 71,238,926.42
  5. Step 5: Solve for x
    x = 71,238,926.42/13,937.48
  6. Step 6: Final answer
    x = 5,111.32

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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.