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Finding the Fourth Proportional to 27,139.65, 40,715.30 and 8,419.29

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Solution

The fourth proportional to 27,139.65, 40,715.30 and 8,419.29 is: 12,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,139.65 : 40,715.30 = 8,419.29 : x
  2. Step 2: Convert to fraction form
    27,139.65/40,715.30 = 8,419.29/x
  3. Step 3: Cross multiply
    27,139.65x = 40,715.30 × 8,419.29
  4. Step 4: Simplify right side
    27,139.65x = 342,793,918.14
  5. Step 5: Solve for x
    x = 342,793,918.14/27,139.65
  6. Step 6: Final answer
    x = 12,630.74

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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.