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Finding the Fourth Proportional to 24,422.32, 36,631.44 and 7,781.68

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Solution

The fourth proportional to 24,422.32, 36,631.44 and 7,781.68 is: 11,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.32 : 36,631.44 = 7,781.68 : x
  2. Step 2: Convert to fraction form
    24,422.32/36,631.44 = 7,781.68/x
  3. Step 3: Cross multiply
    24,422.32x = 36,631.44 × 7,781.68
  4. Step 4: Simplify right side
    24,422.32x = 285,054,144.02
  5. Step 5: Solve for x
    x = 285,054,144.02/24,422.32
  6. Step 6: Final answer
    x = 11,671.87

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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.