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Finding the Fourth Proportional to 13,817.72, 20,732.22 and 7,248.20

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Solution

The fourth proportional to 13,817.72, 20,732.22 and 7,248.20 is: 10,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.72 : 20,732.22 = 7,248.20 : x
  2. Step 2: Convert to fraction form
    13,817.72/20,732.22 = 7,248.20/x
  3. Step 3: Cross multiply
    13,817.72x = 20,732.22 × 7,248.20
  4. Step 4: Simplify right side
    13,817.72x = 150,271,277.00
  5. Step 5: Solve for x
    x = 150,271,277.00/13,817.72
  6. Step 6: Final answer
    x = 10,875.26

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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.