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Finding the Fourth Proportional to 13,826.32, 20,737 and 5,061.36

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Solution

The fourth proportional to 13,826.32, 20,737 and 5,061.36 is: 7,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.32 : 20,737 = 5,061.36 : x
  2. Step 2: Convert to fraction form
    13,826.32/20,737 = 5,061.36/x
  3. Step 3: Cross multiply
    13,826.32x = 20,737 × 5,061.36
  4. Step 4: Simplify right side
    13,826.32x = 104,957,422.32
  5. Step 5: Solve for x
    x = 104,957,422.32/13,826.32
  6. Step 6: Final answer
    x = 7,591.13

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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.