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Finding the Fourth Proportional to 22,677.40, 34,031.75 and 7,886.30

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Solution

The fourth proportional to 22,677.40, 34,031.75 and 7,886.30 is: 11,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.40 : 34,031.75 = 7,886.30 : x
  2. Step 2: Convert to fraction form
    22,677.40/34,031.75 = 7,886.30/x
  3. Step 3: Cross multiply
    22,677.40x = 34,031.75 × 7,886.30
  4. Step 4: Simplify right side
    22,677.40x = 268,384,380.43
  5. Step 5: Solve for x
    x = 268,384,380.43/22,677.40
  6. Step 6: Final answer
    x = 11,834.88

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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.