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Finding the Fourth Proportional to 17,578.50, 26,372.07 and 5,266.50

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Solution

The fourth proportional to 17,578.50, 26,372.07 and 5,266.50 is: 7,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.50 : 26,372.07 = 5,266.50 : x
  2. Step 2: Convert to fraction form
    17,578.50/26,372.07 = 5,266.50/x
  3. Step 3: Cross multiply
    17,578.50x = 26,372.07 × 5,266.50
  4. Step 4: Simplify right side
    17,578.50x = 138,888,506.66
  5. Step 5: Solve for x
    x = 138,888,506.66/17,578.50
  6. Step 6: Final answer
    x = 7,901.04

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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.