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Finding the Fourth Proportional to 13,540.65, 20,306.85 and 5,220.01

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Solution

The fourth proportional to 13,540.65, 20,306.85 and 5,220.01 is: 7,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.65 : 20,306.85 = 5,220.01 : x
  2. Step 2: Convert to fraction form
    13,540.65/20,306.85 = 5,220.01/x
  3. Step 3: Cross multiply
    13,540.65x = 20,306.85 × 5,220.01
  4. Step 4: Simplify right side
    13,540.65x = 106,001,960.07
  5. Step 5: Solve for x
    x = 106,001,960.07/13,540.65
  6. Step 6: Final answer
    x = 7,828.42

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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.