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Finding the Fourth Proportional to 17,660.88, 26,494.20 and 5,346

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Solution

The fourth proportional to 17,660.88, 26,494.20 and 5,346 is: 8,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.88 : 26,494.20 = 5,346 : x
  2. Step 2: Convert to fraction form
    17,660.88/26,494.20 = 5,346/x
  3. Step 3: Cross multiply
    17,660.88x = 26,494.20 × 5,346
  4. Step 4: Simplify right side
    17,660.88x = 141,637,993.20
  5. Step 5: Solve for x
    x = 141,637,993.20/17,660.88
  6. Step 6: Final answer
    x = 8,019.87

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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.