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Finding the Fourth Proportional to 17,876.84, 26,819.06 and 5,397.80

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Solution

The fourth proportional to 17,876.84, 26,819.06 and 5,397.80 is: 8,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.84 : 26,819.06 = 5,397.80 : x
  2. Step 2: Convert to fraction form
    17,876.84/26,819.06 = 5,397.80/x
  3. Step 3: Cross multiply
    17,876.84x = 26,819.06 × 5,397.80
  4. Step 4: Simplify right side
    17,876.84x = 144,763,922.07
  5. Step 5: Solve for x
    x = 144,763,922.07/17,876.84
  6. Step 6: Final answer
    x = 8,097.85

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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.