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Finding the Fourth Proportional to 12,265.47, 18,404.87 and 9,497.57

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Solution

The fourth proportional to 12,265.47, 18,404.87 and 9,497.57 is: 14,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.47 : 18,404.87 = 9,497.57 : x
  2. Step 2: Convert to fraction form
    12,265.47/18,404.87 = 9,497.57/x
  3. Step 3: Cross multiply
    12,265.47x = 18,404.87 × 9,497.57
  4. Step 4: Simplify right side
    12,265.47x = 174,801,401.65
  5. Step 5: Solve for x
    x = 174,801,401.65/12,265.47
  6. Step 6: Final answer
    x = 14,251.50

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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.