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Finding the Fourth Proportional to 23,862.28, 35,807.50 and 9,083.64

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Solution

The fourth proportional to 23,862.28, 35,807.50 and 9,083.64 is: 13,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.28 : 35,807.50 = 9,083.64 : x
  2. Step 2: Convert to fraction form
    23,862.28/35,807.50 = 9,083.64/x
  3. Step 3: Cross multiply
    23,862.28x = 35,807.50 × 9,083.64
  4. Step 4: Simplify right side
    23,862.28x = 325,262,439.30
  5. Step 5: Solve for x
    x = 325,262,439.30/23,862.28
  6. Step 6: Final answer
    x = 13,630.82

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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.