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Finding the Fourth Proportional to 23,020.78, 34,530.36 and 7,438

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Solution

The fourth proportional to 23,020.78, 34,530.36 and 7,438 is: 11,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020.78 : 34,530.36 = 7,438 : x
  2. Step 2: Convert to fraction form
    23,020.78/34,530.36 = 7,438/x
  3. Step 3: Cross multiply
    23,020.78x = 34,530.36 × 7,438
  4. Step 4: Simplify right side
    23,020.78x = 256,836,817.68
  5. Step 5: Solve for x
    x = 256,836,817.68/23,020.78
  6. Step 6: Final answer
    x = 11,156.74

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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.