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Finding the Fourth Proportional to 13,712.15, 20,561.75 and 6,314.42

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Solution

The fourth proportional to 13,712.15, 20,561.75 and 6,314.42 is: 9,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.15 : 20,561.75 = 6,314.42 : x
  2. Step 2: Convert to fraction form
    13,712.15/20,561.75 = 6,314.42/x
  3. Step 3: Cross multiply
    13,712.15x = 20,561.75 × 6,314.42
  4. Step 4: Simplify right side
    13,712.15x = 129,835,568.95
  5. Step 5: Solve for x
    x = 129,835,568.95/13,712.15
  6. Step 6: Final answer
    x = 9,468.65

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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.