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Finding the Fourth Proportional to 23,244, 34,874.62 and 8,454.08

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Solution

The fourth proportional to 23,244, 34,874.62 and 8,454.08 is: 12,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,244 : 34,874.62 = 8,454.08 : x
  2. Step 2: Convert to fraction form
    23,244/34,874.62 = 8,454.08/x
  3. Step 3: Cross multiply
    23,244x = 34,874.62 × 8,454.08
  4. Step 4: Simplify right side
    23,244x = 294,832,827.45
  5. Step 5: Solve for x
    x = 294,832,827.45/23,244
  6. Step 6: Final answer
    x = 12,684.26

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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.