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Finding the Fourth Proportional to 13,534.62, 20,301.25 and 4,768.80

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Solution

The fourth proportional to 13,534.62, 20,301.25 and 4,768.80 is: 7,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.62 : 20,301.25 = 4,768.80 : x
  2. Step 2: Convert to fraction form
    13,534.62/20,301.25 = 4,768.80/x
  3. Step 3: Cross multiply
    13,534.62x = 20,301.25 × 4,768.80
  4. Step 4: Simplify right side
    13,534.62x = 96,812,601
  5. Step 5: Solve for x
    x = 96,812,601/13,534.62
  6. Step 6: Final answer
    x = 7,152.96

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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.