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Finding the Fourth Proportional to 13,586.16, 20,371.56 and 8,040.24

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Solution

The fourth proportional to 13,586.16, 20,371.56 and 8,040.24 is: 12,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.16 : 20,371.56 = 8,040.24 : x
  2. Step 2: Convert to fraction form
    13,586.16/20,371.56 = 8,040.24/x
  3. Step 3: Cross multiply
    13,586.16x = 20,371.56 × 8,040.24
  4. Step 4: Simplify right side
    13,586.16x = 163,792,231.57
  5. Step 5: Solve for x
    x = 163,792,231.57/13,586.16
  6. Step 6: Final answer
    x = 12,055.82

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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.