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Finding the Fourth Proportional to 17,761.39, 26,642.10 and 4,612.66

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Solution

The fourth proportional to 17,761.39, 26,642.10 and 4,612.66 is: 6,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.39 : 26,642.10 = 4,612.66 : x
  2. Step 2: Convert to fraction form
    17,761.39/26,642.10 = 4,612.66/x
  3. Step 3: Cross multiply
    17,761.39x = 26,642.10 × 4,612.66
  4. Step 4: Simplify right side
    17,761.39x = 122,890,948.99
  5. Step 5: Solve for x
    x = 122,890,948.99/17,761.39
  6. Step 6: Final answer
    x = 6,918.99

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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.