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Finding the Fourth Proportional to 13,697.96, 20,559.78 and 7,128.80

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Solution

The fourth proportional to 13,697.96, 20,559.78 and 7,128.80 is: 10,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.96 : 20,559.78 = 7,128.80 : x
  2. Step 2: Convert to fraction form
    13,697.96/20,559.78 = 7,128.80/x
  3. Step 3: Cross multiply
    13,697.96x = 20,559.78 × 7,128.80
  4. Step 4: Simplify right side
    13,697.96x = 146,566,559.66
  5. Step 5: Solve for x
    x = 146,566,559.66/13,697.96
  6. Step 6: Final answer
    x = 10,699.88

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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.