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Finding the Fourth Proportional to 24,107.74, 36,172.22 and 8,315.16

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Solution

The fourth proportional to 24,107.74, 36,172.22 and 8,315.16 is: 12,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.74 : 36,172.22 = 8,315.16 : x
  2. Step 2: Convert to fraction form
    24,107.74/36,172.22 = 8,315.16/x
  3. Step 3: Cross multiply
    24,107.74x = 36,172.22 × 8,315.16
  4. Step 4: Simplify right side
    24,107.74x = 300,777,796.86
  5. Step 5: Solve for x
    x = 300,777,796.86/24,107.74
  6. Step 6: Final answer
    x = 12,476.40

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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.