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Finding the Fourth Proportional to 14,494.12, 21,744.06 and 8,257

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Solution

The fourth proportional to 14,494.12, 21,744.06 and 8,257 is: 12,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.12 : 21,744.06 = 8,257 : x
  2. Step 2: Convert to fraction form
    14,494.12/21,744.06 = 8,257/x
  3. Step 3: Cross multiply
    14,494.12x = 21,744.06 × 8,257
  4. Step 4: Simplify right side
    14,494.12x = 179,540,703.42
  5. Step 5: Solve for x
    x = 179,540,703.42/14,494.12
  6. Step 6: Final answer
    x = 12,387.14

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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.