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Finding the Fourth Proportional to 23,974.60, 33,084.84 and 13,908.88

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Solution

The fourth proportional to 23,974.60, 33,084.84 and 13,908.88 is: 19,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,974.60 : 33,084.84 = 13,908.88 : x
  2. Step 2: Convert to fraction form
    23,974.60/33,084.84 = 13,908.88/x
  3. Step 3: Cross multiply
    23,974.60x = 33,084.84 × 13,908.88
  4. Step 4: Simplify right side
    23,974.60x = 460,173,069.38
  5. Step 5: Solve for x
    x = 460,173,069.38/23,974.60
  6. Step 6: Final answer
    x = 19,194.19

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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.