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Finding the Fourth Proportional to 27,197.18, 40,786.54 and 9,423.70

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Solution

The fourth proportional to 27,197.18, 40,786.54 and 9,423.70 is: 14,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.18 : 40,786.54 = 9,423.70 : x
  2. Step 2: Convert to fraction form
    27,197.18/40,786.54 = 9,423.70/x
  3. Step 3: Cross multiply
    27,197.18x = 40,786.54 × 9,423.70
  4. Step 4: Simplify right side
    27,197.18x = 384,359,865.95
  5. Step 5: Solve for x
    x = 384,359,865.95/27,197.18
  6. Step 6: Final answer
    x = 14,132.34

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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.