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Finding the Fourth Proportional to 24,131.30, 36,147.66 and 12,419.90

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Solution

The fourth proportional to 24,131.30, 36,147.66 and 12,419.90 is: 18,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,131.30 : 36,147.66 = 12,419.90 : x
  2. Step 2: Convert to fraction form
    24,131.30/36,147.66 = 12,419.90/x
  3. Step 3: Cross multiply
    24,131.30x = 36,147.66 × 12,419.90
  4. Step 4: Simplify right side
    24,131.30x = 448,950,322.43
  5. Step 5: Solve for x
    x = 448,950,322.43/24,131.30
  6. Step 6: Final answer
    x = 18,604.48

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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.