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Finding the Fourth Proportional to 13,838.90, 20,721.33 and 7,251.26

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Solution

The fourth proportional to 13,838.90, 20,721.33 and 7,251.26 is: 10,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.90 : 20,721.33 = 7,251.26 : x
  2. Step 2: Convert to fraction form
    13,838.90/20,721.33 = 7,251.26/x
  3. Step 3: Cross multiply
    13,838.90x = 20,721.33 × 7,251.26
  4. Step 4: Simplify right side
    13,838.90x = 150,255,647.77
  5. Step 5: Solve for x
    x = 150,255,647.77/13,838.90
  6. Step 6: Final answer
    x = 10,857.49

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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.