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Finding the Fourth Proportional to 13,532.76, 20,270.34 and 7,686.36

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Solution

The fourth proportional to 13,532.76, 20,270.34 and 7,686.36 is: 11,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.76 : 20,270.34 = 7,686.36 : x
  2. Step 2: Convert to fraction form
    13,532.76/20,270.34 = 7,686.36/x
  3. Step 3: Cross multiply
    13,532.76x = 20,270.34 × 7,686.36
  4. Step 4: Simplify right side
    13,532.76x = 155,805,130.56
  5. Step 5: Solve for x
    x = 155,805,130.56/13,532.76
  6. Step 6: Final answer
    x = 11,513.18

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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.