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Finding the Fourth Proportional to 23,833.36, 35,725.20 and 9,033.04

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Solution

The fourth proportional to 23,833.36, 35,725.20 and 9,033.04 is: 13,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.36 : 35,725.20 = 9,033.04 : x
  2. Step 2: Convert to fraction form
    23,833.36/35,725.20 = 9,033.04/x
  3. Step 3: Cross multiply
    23,833.36x = 35,725.20 × 9,033.04
  4. Step 4: Simplify right side
    23,833.36x = 322,707,160.61
  5. Step 5: Solve for x
    x = 322,707,160.61/23,833.36
  6. Step 6: Final answer
    x = 13,540.15

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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.