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Finding the Fourth Proportional to 12,507.56, 17,255.28 and 8,033.92

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Solution

The fourth proportional to 12,507.56, 17,255.28 and 8,033.92 is: 11,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.56 : 17,255.28 = 8,033.92 : x
  2. Step 2: Convert to fraction form
    12,507.56/17,255.28 = 8,033.92/x
  3. Step 3: Cross multiply
    12,507.56x = 17,255.28 × 8,033.92
  4. Step 4: Simplify right side
    12,507.56x = 138,627,539.10
  5. Step 5: Solve for x
    x = 138,627,539.10/12,507.56
  6. Step 6: Final answer
    x = 11,083.50

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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.