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Finding the Fourth Proportional to 18,105.84, 24,959.90 and 12,711.86

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Solution

The fourth proportional to 18,105.84, 24,959.90 and 12,711.86 is: 17,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.84 : 24,959.90 = 12,711.86 : x
  2. Step 2: Convert to fraction form
    18,105.84/24,959.90 = 12,711.86/x
  3. Step 3: Cross multiply
    18,105.84x = 24,959.90 × 12,711.86
  4. Step 4: Simplify right side
    18,105.84x = 317,286,566.06
  5. Step 5: Solve for x
    x = 317,286,566.06/18,105.84
  6. Step 6: Final answer
    x = 17,523.99

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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.