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Finding the Fourth Proportional to 24,532.86, 36,801.48 and 7,894.38

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Solution

The fourth proportional to 24,532.86, 36,801.48 and 7,894.38 is: 11,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.86 : 36,801.48 = 7,894.38 : x
  2. Step 2: Convert to fraction form
    24,532.86/36,801.48 = 7,894.38/x
  3. Step 3: Cross multiply
    24,532.86x = 36,801.48 × 7,894.38
  4. Step 4: Simplify right side
    24,532.86x = 290,524,867.68
  5. Step 5: Solve for x
    x = 290,524,867.68/24,532.86
  6. Step 6: Final answer
    x = 11,842.27

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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.