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Finding the Fourth Proportional to 14,581.78, 20,122.68 and 8,294.14

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Solution

The fourth proportional to 14,581.78, 20,122.68 and 8,294.14 is: 11,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,581.78 : 20,122.68 = 8,294.14 : x
  2. Step 2: Convert to fraction form
    14,581.78/20,122.68 = 8,294.14/x
  3. Step 3: Cross multiply
    14,581.78x = 20,122.68 × 8,294.14
  4. Step 4: Simplify right side
    14,581.78x = 166,900,325.10
  5. Step 5: Solve for x
    x = 166,900,325.10/14,581.78
  6. Step 6: Final answer
    x = 11,445.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.