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Finding the Fourth Proportional to 14,494.20, 21,744.30 and 8,257.20

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Solution

The fourth proportional to 14,494.20, 21,744.30 and 8,257.20 is: 12,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.20 : 21,744.30 = 8,257.20 : x
  2. Step 2: Convert to fraction form
    14,494.20/21,744.30 = 8,257.20/x
  3. Step 3: Cross multiply
    14,494.20x = 21,744.30 × 8,257.20
  4. Step 4: Simplify right side
    14,494.20x = 179,547,033.96
  5. Step 5: Solve for x
    x = 179,547,033.96/14,494.20
  6. Step 6: Final answer
    x = 12,387.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.