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Finding the Fourth Proportional to 29,697.68, 40,981.68 and 17,753.90

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Solution

The fourth proportional to 29,697.68, 40,981.68 and 17,753.90 is: 24,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.68 : 40,981.68 = 17,753.90 : x
  2. Step 2: Convert to fraction form
    29,697.68/40,981.68 = 17,753.90/x
  3. Step 3: Cross multiply
    29,697.68x = 40,981.68 × 17,753.90
  4. Step 4: Simplify right side
    29,697.68x = 727,584,648.55
  5. Step 5: Solve for x
    x = 727,584,648.55/29,697.68
  6. Step 6: Final answer
    x = 24,499.71

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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.