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Finding the Fourth Proportional to 24,272.14, 36,409.78 and 7,632.82

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Solution

The fourth proportional to 24,272.14, 36,409.78 and 7,632.82 is: 11,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,272.14 : 36,409.78 = 7,632.82 : x
  2. Step 2: Convert to fraction form
    24,272.14/36,409.78 = 7,632.82/x
  3. Step 3: Cross multiply
    24,272.14x = 36,409.78 × 7,632.82
  4. Step 4: Simplify right side
    24,272.14x = 277,909,125.76
  5. Step 5: Solve for x
    x = 277,909,125.76/24,272.14
  6. Step 6: Final answer
    x = 11,449.72

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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.