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Finding the Fourth Proportional to 23,178.74, 34,768.20 and 11,489.22

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Solution

The fourth proportional to 23,178.74, 34,768.20 and 11,489.22 is: 17,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.74 : 34,768.20 = 11,489.22 : x
  2. Step 2: Convert to fraction form
    23,178.74/34,768.20 = 11,489.22/x
  3. Step 3: Cross multiply
    23,178.74x = 34,768.20 × 11,489.22
  4. Step 4: Simplify right side
    23,178.74x = 399,459,498.80
  5. Step 5: Solve for x
    x = 399,459,498.80/23,178.74
  6. Step 6: Final answer
    x = 17,233.87

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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.