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Finding the Fourth Proportional to 10,032.26, 13,754.41 and 9,854.46

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Solution

The fourth proportional to 10,032.26, 13,754.41 and 9,854.46 is: 13,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.26 : 13,754.41 = 9,854.46 : x
  2. Step 2: Convert to fraction form
    10,032.26/13,754.41 = 9,854.46/x
  3. Step 3: Cross multiply
    10,032.26x = 13,754.41 × 9,854.46
  4. Step 4: Simplify right side
    10,032.26x = 135,542,258.53
  5. Step 5: Solve for x
    x = 135,542,258.53/10,032.26
  6. Step 6: Final answer
    x = 13,510.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.