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Finding the Fourth Proportional to 13,431.84, 20,121.84 and 6,511.20

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Solution

The fourth proportional to 13,431.84, 20,121.84 and 6,511.20 is: 9,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.84 : 20,121.84 = 6,511.20 : x
  2. Step 2: Convert to fraction form
    13,431.84/20,121.84 = 6,511.20/x
  3. Step 3: Cross multiply
    13,431.84x = 20,121.84 × 6,511.20
  4. Step 4: Simplify right side
    13,431.84x = 131,017,324.61
  5. Step 5: Solve for x
    x = 131,017,324.61/13,431.84
  6. Step 6: Final answer
    x = 9,754.24

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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.