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Finding the Fourth Proportional to 12,491.12, 18,732.92 and 10,294.40

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Solution

The fourth proportional to 12,491.12, 18,732.92 and 10,294.40 is: 15,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.12 : 18,732.92 = 10,294.40 : x
  2. Step 2: Convert to fraction form
    12,491.12/18,732.92 = 10,294.40/x
  3. Step 3: Cross multiply
    12,491.12x = 18,732.92 × 10,294.40
  4. Step 4: Simplify right side
    12,491.12x = 192,844,171.65
  5. Step 5: Solve for x
    x = 192,844,171.65/12,491.12
  6. Step 6: Final answer
    x = 15,438.50

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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.