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Finding the Fourth Proportional to 15,896.61, 23,843.85 and 6,534.21

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Solution

The fourth proportional to 15,896.61, 23,843.85 and 6,534.21 is: 9,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.61 : 23,843.85 = 6,534.21 : x
  2. Step 2: Convert to fraction form
    15,896.61/23,843.85 = 6,534.21/x
  3. Step 3: Cross multiply
    15,896.61x = 23,843.85 × 6,534.21
  4. Step 4: Simplify right side
    15,896.61x = 155,800,723.11
  5. Step 5: Solve for x
    x = 155,800,723.11/15,896.61
  6. Step 6: Final answer
    x = 9,800.88

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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.