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Finding the Fourth Proportional to 24,138.09, 36,207.20 and 10,287.09

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Solution

The fourth proportional to 24,138.09, 36,207.20 and 10,287.09 is: 15,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138.09 : 36,207.20 = 10,287.09 : x
  2. Step 2: Convert to fraction form
    24,138.09/36,207.20 = 10,287.09/x
  3. Step 3: Cross multiply
    24,138.09x = 36,207.20 × 10,287.09
  4. Step 4: Simplify right side
    24,138.09x = 372,466,673.61
  5. Step 5: Solve for x
    x = 372,466,673.61/24,138.09
  6. Step 6: Final answer
    x = 15,430.66

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1.5x scale

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.