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Finding the Fourth Proportional to 13,774.17, 20,663.91 and 5,876.55

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Solution

The fourth proportional to 13,774.17, 20,663.91 and 5,876.55 is: 8,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.17 : 20,663.91 = 5,876.55 : x
  2. Step 2: Convert to fraction form
    13,774.17/20,663.91 = 5,876.55/x
  3. Step 3: Cross multiply
    13,774.17x = 20,663.91 × 5,876.55
  4. Step 4: Simplify right side
    13,774.17x = 121,432,500.31
  5. Step 5: Solve for x
    x = 121,432,500.31/13,774.17
  6. Step 6: Final answer
    x = 8,815.96

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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.