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Finding the Fourth Proportional to 23,056.25, 34,580.93 and 6,414.54

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Solution

The fourth proportional to 23,056.25, 34,580.93 and 6,414.54 is: 9,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,056.25 : 34,580.93 = 6,414.54 : x
  2. Step 2: Convert to fraction form
    23,056.25/34,580.93 = 6,414.54/x
  3. Step 3: Cross multiply
    23,056.25x = 34,580.93 × 6,414.54
  4. Step 4: Simplify right side
    23,056.25x = 221,820,791.49
  5. Step 5: Solve for x
    x = 221,820,791.49/23,056.25
  6. Step 6: Final answer
    x = 9,620.86

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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.