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Finding the Fourth Proportional to 13,697.48, 20,563.86 and 7,128.20

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Solution

The fourth proportional to 13,697.48, 20,563.86 and 7,128.20 is: 10,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.48 : 20,563.86 = 7,128.20 : x
  2. Step 2: Convert to fraction form
    13,697.48/20,563.86 = 7,128.20/x
  3. Step 3: Cross multiply
    13,697.48x = 20,563.86 × 7,128.20
  4. Step 4: Simplify right side
    13,697.48x = 146,583,306.85
  5. Step 5: Solve for x
    x = 146,583,306.85/13,697.48
  6. Step 6: Final answer
    x = 10,701.48

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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.