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Finding the Fourth Proportional to 17,658.75, 26,488.19 and 5,346.75

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Solution

The fourth proportional to 17,658.75, 26,488.19 and 5,346.75 is: 8,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.75 : 26,488.19 = 5,346.75 : x
  2. Step 2: Convert to fraction form
    17,658.75/26,488.19 = 5,346.75/x
  3. Step 3: Cross multiply
    17,658.75x = 26,488.19 × 5,346.75
  4. Step 4: Simplify right side
    17,658.75x = 141,625,703.15
  5. Step 5: Solve for x
    x = 141,625,703.15/17,658.75
  6. Step 6: Final answer
    x = 8,020.14

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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.