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Finding the Fourth Proportional to 23,107.34, 34,657.03 and 6,463.48

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Solution

The fourth proportional to 23,107.34, 34,657.03 and 6,463.48 is: 9,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.34 : 34,657.03 = 6,463.48 : x
  2. Step 2: Convert to fraction form
    23,107.34/34,657.03 = 6,463.48/x
  3. Step 3: Cross multiply
    23,107.34x = 34,657.03 × 6,463.48
  4. Step 4: Simplify right side
    23,107.34x = 224,005,006.68
  5. Step 5: Solve for x
    x = 224,005,006.68/23,107.34
  6. Step 6: Final answer
    x = 9,694.11

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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.