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Finding the Fourth Proportional to 17,348.77, 26,027.30 and 5,662

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Solution

The fourth proportional to 17,348.77, 26,027.30 and 5,662 is: 8,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,348.77 : 26,027.30 = 5,662 : x
  2. Step 2: Convert to fraction form
    17,348.77/26,027.30 = 5,662/x
  3. Step 3: Cross multiply
    17,348.77x = 26,027.30 × 5,662
  4. Step 4: Simplify right side
    17,348.77x = 147,366,572.60
  5. Step 5: Solve for x
    x = 147,366,572.60/17,348.77
  6. Step 6: Final answer
    x = 8,494.35

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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.