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Finding the Fourth Proportional to 24,114.93, 36,174.80 and 8,317.88

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Solution

The fourth proportional to 24,114.93, 36,174.80 and 8,317.88 is: 12,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114.93 : 36,174.80 = 8,317.88 : x
  2. Step 2: Convert to fraction form
    24,114.93/36,174.80 = 8,317.88/x
  3. Step 3: Cross multiply
    24,114.93x = 36,174.80 × 8,317.88
  4. Step 4: Simplify right side
    24,114.93x = 300,897,645.42
  5. Step 5: Solve for x
    x = 300,897,645.42/24,114.93
  6. Step 6: Final answer
    x = 12,477.65

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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.