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Finding the Fourth Proportional to 13,891.90, 20,842.71 and 4,031.77

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Solution

The fourth proportional to 13,891.90, 20,842.71 and 4,031.77 is: 6,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.90 : 20,842.71 = 4,031.77 : x
  2. Step 2: Convert to fraction form
    13,891.90/20,842.71 = 4,031.77/x
  3. Step 3: Cross multiply
    13,891.90x = 20,842.71 × 4,031.77
  4. Step 4: Simplify right side
    13,891.90x = 84,033,012.90
  5. Step 5: Solve for x
    x = 84,033,012.90/13,891.90
  6. Step 6: Final answer
    x = 6,049.07

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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.