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Finding the Fourth Proportional to 18,096.76, 24,960.18 and 11,377

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Solution

The fourth proportional to 18,096.76, 24,960.18 and 11,377 is: 15,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096.76 : 24,960.18 = 11,377 : x
  2. Step 2: Convert to fraction form
    18,096.76/24,960.18 = 11,377/x
  3. Step 3: Cross multiply
    18,096.76x = 24,960.18 × 11,377
  4. Step 4: Simplify right side
    18,096.76x = 283,971,967.86
  5. Step 5: Solve for x
    x = 283,971,967.86/18,096.76
  6. Step 6: Final answer
    x = 15,691.87

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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.