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Finding the Fourth Proportional to 13,842.87, 20,721.23 and 13,400

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Solution

The fourth proportional to 13,842.87, 20,721.23 and 13,400 is: 20,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.87 : 20,721.23 = 13,400 : x
  2. Step 2: Convert to fraction form
    13,842.87/20,721.23 = 13,400/x
  3. Step 3: Cross multiply
    13,842.87x = 20,721.23 × 13,400
  4. Step 4: Simplify right side
    13,842.87x = 277,664,482
  5. Step 5: Solve for x
    x = 277,664,482/13,842.87
  6. Step 6: Final answer
    x = 20,058.30

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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.