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Finding the Fourth Proportional to 14,843.20, 22,264.80 and 14,612.80

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Solution

The fourth proportional to 14,843.20, 22,264.80 and 14,612.80 is: 21,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.20 : 22,264.80 = 14,612.80 : x
  2. Step 2: Convert to fraction form
    14,843.20/22,264.80 = 14,612.80/x
  3. Step 3: Cross multiply
    14,843.20x = 22,264.80 × 14,612.80
  4. Step 4: Simplify right side
    14,843.20x = 325,351,069.44
  5. Step 5: Solve for x
    x = 325,351,069.44/14,843.20
  6. Step 6: Final answer
    x = 21,919.20

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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.