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Finding the Fourth Proportional to 24,196.42, 36,299.76 and 8,614

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Solution

The fourth proportional to 24,196.42, 36,299.76 and 8,614 is: 12,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.42 : 36,299.76 = 8,614 : x
  2. Step 2: Convert to fraction form
    24,196.42/36,299.76 = 8,614/x
  3. Step 3: Cross multiply
    24,196.42x = 36,299.76 × 8,614
  4. Step 4: Simplify right side
    24,196.42x = 312,686,132.64
  5. Step 5: Solve for x
    x = 312,686,132.64/24,196.42
  6. Step 6: Final answer
    x = 12,922.83

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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.