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Finding the Fourth Proportional to 17,863.44, 24,647.40 and 12,282

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Solution

The fourth proportional to 17,863.44, 24,647.40 and 12,282 is: 16,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,863.44 : 24,647.40 = 12,282 : x
  2. Step 2: Convert to fraction form
    17,863.44/24,647.40 = 12,282/x
  3. Step 3: Cross multiply
    17,863.44x = 24,647.40 × 12,282
  4. Step 4: Simplify right side
    17,863.44x = 302,719,366.80
  5. Step 5: Solve for x
    x = 302,719,366.80/17,863.44
  6. Step 6: Final answer
    x = 16,946.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.