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Finding the Fourth Proportional to 17,788.70, 26,683.10 and 4,641.09

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Solution

The fourth proportional to 17,788.70, 26,683.10 and 4,641.09 is: 6,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.70 : 26,683.10 = 4,641.09 : x
  2. Step 2: Convert to fraction form
    17,788.70/26,683.10 = 4,641.09/x
  3. Step 3: Cross multiply
    17,788.70x = 26,683.10 × 4,641.09
  4. Step 4: Simplify right side
    17,788.70x = 123,838,668.58
  5. Step 5: Solve for x
    x = 123,838,668.58/17,788.70
  6. Step 6: Final answer
    x = 6,961.65

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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.