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Finding the Fourth Proportional to 23,197.46, 34,794.92 and 14,314.48

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Solution

The fourth proportional to 23,197.46, 34,794.92 and 14,314.48 is: 21,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.46 : 34,794.92 = 14,314.48 : x
  2. Step 2: Convert to fraction form
    23,197.46/34,794.92 = 14,314.48/x
  3. Step 3: Cross multiply
    23,197.46x = 34,794.92 × 14,314.48
  4. Step 4: Simplify right side
    23,197.46x = 498,071,135.24
  5. Step 5: Solve for x
    x = 498,071,135.24/23,197.46
  6. Step 6: Final answer
    x = 21,470.94

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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.