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Finding the Fourth Proportional to 24,023.85, 36,057.92 and 12,185.93

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Solution

The fourth proportional to 24,023.85, 36,057.92 and 12,185.93 is: 18,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.85 : 36,057.92 = 12,185.93 : x
  2. Step 2: Convert to fraction form
    24,023.85/36,057.92 = 12,185.93/x
  3. Step 3: Cross multiply
    24,023.85x = 36,057.92 × 12,185.93
  4. Step 4: Simplify right side
    24,023.85x = 439,399,289.07
  5. Step 5: Solve for x
    x = 439,399,289.07/24,023.85
  6. Step 6: Final answer
    x = 18,290.13

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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.