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Finding the Fourth Proportional to 17,657.46, 26,489.70 and 5,974.02

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Solution

The fourth proportional to 17,657.46, 26,489.70 and 5,974.02 is: 8,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.46 : 26,489.70 = 5,974.02 : x
  2. Step 2: Convert to fraction form
    17,657.46/26,489.70 = 5,974.02/x
  3. Step 3: Cross multiply
    17,657.46x = 26,489.70 × 5,974.02
  4. Step 4: Simplify right side
    17,657.46x = 158,249,997.59
  5. Step 5: Solve for x
    x = 158,249,997.59/17,657.46
  6. Step 6: Final answer
    x = 8,962.22

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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.