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Finding the Fourth Proportional to 24,273.12, 36,409.64 and 7,634.62

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Solution

The fourth proportional to 24,273.12, 36,409.64 and 7,634.62 is: 11,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,273.12 : 36,409.64 = 7,634.62 : x
  2. Step 2: Convert to fraction form
    24,273.12/36,409.64 = 7,634.62/x
  3. Step 3: Cross multiply
    24,273.12x = 36,409.64 × 7,634.62
  4. Step 4: Simplify right side
    24,273.12x = 277,973,765.74
  5. Step 5: Solve for x
    x = 277,973,765.74/24,273.12
  6. Step 6: Final answer
    x = 11,451.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.