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Finding the Fourth Proportional to 13,712.54, 20,572.68 and 3,851.90

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Solution

The fourth proportional to 13,712.54, 20,572.68 and 3,851.90 is: 5,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.54 : 20,572.68 = 3,851.90 : x
  2. Step 2: Convert to fraction form
    13,712.54/20,572.68 = 3,851.90/x
  3. Step 3: Cross multiply
    13,712.54x = 20,572.68 × 3,851.90
  4. Step 4: Simplify right side
    13,712.54x = 79,243,886.83
  5. Step 5: Solve for x
    x = 79,243,886.83/13,712.54
  6. Step 6: Final answer
    x = 5,778.94

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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.