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Finding the Fourth Proportional to 24,194.53, 36,277.05 and 10,864.93

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Solution

The fourth proportional to 24,194.53, 36,277.05 and 10,864.93 is: 16,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.53 : 36,277.05 = 10,864.93 : x
  2. Step 2: Convert to fraction form
    24,194.53/36,277.05 = 10,864.93/x
  3. Step 3: Cross multiply
    24,194.53x = 36,277.05 × 10,864.93
  4. Step 4: Simplify right side
    24,194.53x = 394,147,608.86
  5. Step 5: Solve for x
    x = 394,147,608.86/24,194.53
  6. Step 6: Final answer
    x = 16,290.77

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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.