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Finding the Fourth Proportional to 24,293.22, 36,441.12 and 7,654.54

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Solution

The fourth proportional to 24,293.22, 36,441.12 and 7,654.54 is: 11,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,293.22 : 36,441.12 = 7,654.54 : x
  2. Step 2: Convert to fraction form
    24,293.22/36,441.12 = 7,654.54/x
  3. Step 3: Cross multiply
    24,293.22x = 36,441.12 × 7,654.54
  4. Step 4: Simplify right side
    24,293.22x = 278,940,010.68
  5. Step 5: Solve for x
    x = 278,940,010.68/24,293.22
  6. Step 6: Final answer
    x = 11,482.22

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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.