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Finding the Fourth Proportional to 13,701.36, 20,538.68 and 7,128.24

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Solution

The fourth proportional to 13,701.36, 20,538.68 and 7,128.24 is: 10,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.36 : 20,538.68 = 7,128.24 : x
  2. Step 2: Convert to fraction form
    13,701.36/20,538.68 = 7,128.24/x
  3. Step 3: Cross multiply
    13,701.36x = 20,538.68 × 7,128.24
  4. Step 4: Simplify right side
    13,701.36x = 146,404,640.32
  5. Step 5: Solve for x
    x = 146,404,640.32/13,701.36
  6. Step 6: Final answer
    x = 10,685.41

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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.