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Finding the Fourth Proportional to 26,034.50, 39,046.80 and 12,694.10

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Solution

The fourth proportional to 26,034.50, 39,046.80 and 12,694.10 is: 19,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,034.50 : 39,046.80 = 12,694.10 : x
  2. Step 2: Convert to fraction form
    26,034.50/39,046.80 = 12,694.10/x
  3. Step 3: Cross multiply
    26,034.50x = 39,046.80 × 12,694.10
  4. Step 4: Simplify right side
    26,034.50x = 495,663,788.65
  5. Step 5: Solve for x
    x = 495,663,788.65/26,034.50
  6. Step 6: Final answer
    x = 19,038.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.