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Finding the Fourth Proportional to 22,954.80, 34,432.20 and 14,206.80

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Solution

The fourth proportional to 22,954.80, 34,432.20 and 14,206.80 is: 21,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.80 : 34,432.20 = 14,206.80 : x
  2. Step 2: Convert to fraction form
    22,954.80/34,432.20 = 14,206.80/x
  3. Step 3: Cross multiply
    22,954.80x = 34,432.20 × 14,206.80
  4. Step 4: Simplify right side
    22,954.80x = 489,171,378.96
  5. Step 5: Solve for x
    x = 489,171,378.96/22,954.80
  6. Step 6: Final answer
    x = 21,310.20

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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.