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Finding the Fourth Proportional to 17,745.36, 26,618.16 and 7,882

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Solution

The fourth proportional to 17,745.36, 26,618.16 and 7,882 is: 11,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.36 : 26,618.16 = 7,882 : x
  2. Step 2: Convert to fraction form
    17,745.36/26,618.16 = 7,882/x
  3. Step 3: Cross multiply
    17,745.36x = 26,618.16 × 7,882
  4. Step 4: Simplify right side
    17,745.36x = 209,804,337.12
  5. Step 5: Solve for x
    x = 209,804,337.12/17,745.36
  6. Step 6: Final answer
    x = 11,823.05

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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.