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Finding the Fourth Proportional to 24,146.40, 36,230.40 and 8,575.20

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Solution

The fourth proportional to 24,146.40, 36,230.40 and 8,575.20 is: 12,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.40 : 36,230.40 = 8,575.20 : x
  2. Step 2: Convert to fraction form
    24,146.40/36,230.40 = 8,575.20/x
  3. Step 3: Cross multiply
    24,146.40x = 36,230.40 × 8,575.20
  4. Step 4: Simplify right side
    24,146.40x = 310,682,926.08
  5. Step 5: Solve for x
    x = 310,682,926.08/24,146.40
  6. Step 6: Final answer
    x = 12,866.64

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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.