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Finding the Fourth Proportional to 27,136.29, 40,697.85 and 7,414.95

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Solution

The fourth proportional to 27,136.29, 40,697.85 and 7,414.95 is: 11,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.29 : 40,697.85 = 7,414.95 : x
  2. Step 2: Convert to fraction form
    27,136.29/40,697.85 = 7,414.95/x
  3. Step 3: Cross multiply
    27,136.29x = 40,697.85 × 7,414.95
  4. Step 4: Simplify right side
    27,136.29x = 301,772,522.86
  5. Step 5: Solve for x
    x = 301,772,522.86/27,136.29
  6. Step 6: Final answer
    x = 11,120.63

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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.