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Finding the Fourth Proportional to 23,283.96, 34,913.17 and 9,229.75

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Solution

The fourth proportional to 23,283.96, 34,913.17 and 9,229.75 is: 13,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.96 : 34,913.17 = 9,229.75 : x
  2. Step 2: Convert to fraction form
    23,283.96/34,913.17 = 9,229.75/x
  3. Step 3: Cross multiply
    23,283.96x = 34,913.17 × 9,229.75
  4. Step 4: Simplify right side
    23,283.96x = 322,239,830.81
  5. Step 5: Solve for x
    x = 322,239,830.81/23,283.96
  6. Step 6: Final answer
    x = 13,839.56

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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.