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Finding the Fourth Proportional to 18,022.80, 24,836.03 and 13,778.66

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Solution

The fourth proportional to 18,022.80, 24,836.03 and 13,778.66 is: 18,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,022.80 : 24,836.03 = 13,778.66 : x
  2. Step 2: Convert to fraction form
    18,022.80/24,836.03 = 13,778.66/x
  3. Step 3: Cross multiply
    18,022.80x = 24,836.03 × 13,778.66
  4. Step 4: Simplify right side
    18,022.80x = 342,207,213.12
  5. Step 5: Solve for x
    x = 342,207,213.12/18,022.80
  6. Step 6: Final answer
    x = 18,987.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.