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Finding the Fourth Proportional to 13,488.81, 20,197.77 and 10,842.27

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Solution

The fourth proportional to 13,488.81, 20,197.77 and 10,842.27 is: 16,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.81 : 20,197.77 = 10,842.27 : x
  2. Step 2: Convert to fraction form
    13,488.81/20,197.77 = 10,842.27/x
  3. Step 3: Cross multiply
    13,488.81x = 20,197.77 × 10,842.27
  4. Step 4: Simplify right side
    13,488.81x = 218,989,675.74
  5. Step 5: Solve for x
    x = 218,989,675.74/13,488.81
  6. Step 6: Final answer
    x = 16,234.91

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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.