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Finding the Fourth Proportional to 24,184.74, 36,286.44 and 9,404.07

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Solution

The fourth proportional to 24,184.74, 36,286.44 and 9,404.07 is: 14,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,184.74 : 36,286.44 = 9,404.07 : x
  2. Step 2: Convert to fraction form
    24,184.74/36,286.44 = 9,404.07/x
  3. Step 3: Cross multiply
    24,184.74x = 36,286.44 × 9,404.07
  4. Step 4: Simplify right side
    24,184.74x = 341,240,221.81
  5. Step 5: Solve for x
    x = 341,240,221.81/24,184.74
  6. Step 6: Final answer
    x = 14,109.73

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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.