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Finding the Fourth Proportional to 17,909, 26,863.58 and 5,597

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Solution

The fourth proportional to 17,909, 26,863.58 and 5,597 is: 8,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909 : 26,863.58 = 5,597 : x
  2. Step 2: Convert to fraction form
    17,909/26,863.58 = 5,597/x
  3. Step 3: Cross multiply
    17,909x = 26,863.58 × 5,597
  4. Step 4: Simplify right side
    17,909x = 150,355,457.26
  5. Step 5: Solve for x
    x = 150,355,457.26/17,909
  6. Step 6: Final answer
    x = 8,395.53

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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.