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Finding the Fourth Proportional to 17,728.50, 26,595.91 and 5,882.98

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Solution

The fourth proportional to 17,728.50, 26,595.91 and 5,882.98 is: 8,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.50 : 26,595.91 = 5,882.98 : x
  2. Step 2: Convert to fraction form
    17,728.50/26,595.91 = 5,882.98/x
  3. Step 3: Cross multiply
    17,728.50x = 26,595.91 × 5,882.98
  4. Step 4: Simplify right side
    17,728.50x = 156,463,206.61
  5. Step 5: Solve for x
    x = 156,463,206.61/17,728.50
  6. Step 6: Final answer
    x = 8,825.52

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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.