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Finding the Fourth Proportional to 13,718.78, 20,580.13 and 4,231.90

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Solution

The fourth proportional to 13,718.78, 20,580.13 and 4,231.90 is: 6,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.78 : 20,580.13 = 4,231.90 : x
  2. Step 2: Convert to fraction form
    13,718.78/20,580.13 = 4,231.90/x
  3. Step 3: Cross multiply
    13,718.78x = 20,580.13 × 4,231.90
  4. Step 4: Simplify right side
    13,718.78x = 87,092,990.12
  5. Step 5: Solve for x
    x = 87,092,990.12/13,718.78
  6. Step 6: Final answer
    x = 6,348.45

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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.