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Finding the Fourth Proportional to 13,548.02, 20,306.42 and 5,223.88

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Solution

The fourth proportional to 13,548.02, 20,306.42 and 5,223.88 is: 7,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.02 : 20,306.42 = 5,223.88 : x
  2. Step 2: Convert to fraction form
    13,548.02/20,306.42 = 5,223.88/x
  3. Step 3: Cross multiply
    13,548.02x = 20,306.42 × 5,223.88
  4. Step 4: Simplify right side
    13,548.02x = 106,078,301.31
  5. Step 5: Solve for x
    x = 106,078,301.31/13,548.02
  6. Step 6: Final answer
    x = 7,829.80

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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.