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Finding the Fourth Proportional to 12,563.28, 17,337.17 and 7,257.98

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Solution

The fourth proportional to 12,563.28, 17,337.17 and 7,257.98 is: 10,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.28 : 17,337.17 = 7,257.98 : x
  2. Step 2: Convert to fraction form
    12,563.28/17,337.17 = 7,257.98/x
  3. Step 3: Cross multiply
    12,563.28x = 17,337.17 × 7,257.98
  4. Step 4: Simplify right side
    12,563.28x = 125,832,796.83
  5. Step 5: Solve for x
    x = 125,832,796.83/12,563.28
  6. Step 6: Final answer
    x = 10,015.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.