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Finding the Fourth Proportional to 17,854.77, 26,781.75 and 6,166.89

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Solution

The fourth proportional to 17,854.77, 26,781.75 and 6,166.89 is: 9,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.77 : 26,781.75 = 6,166.89 : x
  2. Step 2: Convert to fraction form
    17,854.77/26,781.75 = 6,166.89/x
  3. Step 3: Cross multiply
    17,854.77x = 26,781.75 × 6,166.89
  4. Step 4: Simplify right side
    17,854.77x = 165,160,106.26
  5. Step 5: Solve for x
    x = 165,160,106.26/17,854.77
  6. Step 6: Final answer
    x = 9,250.20

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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.