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Finding the Fourth Proportional to 23,122.48, 34,677.78 and 9,083.02

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Solution

The fourth proportional to 23,122.48, 34,677.78 and 9,083.02 is: 13,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,122.48 : 34,677.78 = 9,083.02 : x
  2. Step 2: Convert to fraction form
    23,122.48/34,677.78 = 9,083.02/x
  3. Step 3: Cross multiply
    23,122.48x = 34,677.78 × 9,083.02
  4. Step 4: Simplify right side
    23,122.48x = 314,978,969.30
  5. Step 5: Solve for x
    x = 314,978,969.30/23,122.48
  6. Step 6: Final answer
    x = 13,622.20

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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.