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Finding the Fourth Proportional to 24,143.20, 36,214.80 and 15,686.80

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Solution

The fourth proportional to 24,143.20, 36,214.80 and 15,686.80 is: 23,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,143.20 : 36,214.80 = 15,686.80 : x
  2. Step 2: Convert to fraction form
    24,143.20/36,214.80 = 15,686.80/x
  3. Step 3: Cross multiply
    24,143.20x = 36,214.80 × 15,686.80
  4. Step 4: Simplify right side
    24,143.20x = 568,094,324.64
  5. Step 5: Solve for x
    x = 568,094,324.64/24,143.20
  6. Step 6: Final answer
    x = 23,530.20

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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.