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Finding the Fourth Proportional to 24,523.96, 36,785.25 and 7,883.86

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Solution

The fourth proportional to 24,523.96, 36,785.25 and 7,883.86 is: 11,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.96 : 36,785.25 = 7,883.86 : x
  2. Step 2: Convert to fraction form
    24,523.96/36,785.25 = 7,883.86/x
  3. Step 3: Cross multiply
    24,523.96x = 36,785.25 × 7,883.86
  4. Step 4: Simplify right side
    24,523.96x = 290,009,761.07
  5. Step 5: Solve for x
    x = 290,009,761.07/24,523.96
  6. Step 6: Final answer
    x = 11,825.57

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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.