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Finding the Fourth Proportional to 24,431.40, 36,642.30 and 8,015.40

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Solution

The fourth proportional to 24,431.40, 36,642.30 and 8,015.40 is: 12,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.40 : 36,642.30 = 8,015.40 : x
  2. Step 2: Convert to fraction form
    24,431.40/36,642.30 = 8,015.40/x
  3. Step 3: Cross multiply
    24,431.40x = 36,642.30 × 8,015.40
  4. Step 4: Simplify right side
    24,431.40x = 293,702,691.42
  5. Step 5: Solve for x
    x = 293,702,691.42/24,431.40
  6. Step 6: Final answer
    x = 12,021.53

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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.