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Finding the Fourth Proportional to 17,727, 26,590.50 and 5,415

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Solution

The fourth proportional to 17,727, 26,590.50 and 5,415 is: 8,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727 : 26,590.50 = 5,415 : x
  2. Step 2: Convert to fraction form
    17,727/26,590.50 = 5,415/x
  3. Step 3: Cross multiply
    17,727x = 26,590.50 × 5,415
  4. Step 4: Simplify right side
    17,727x = 143,987,557.50
  5. Step 5: Solve for x
    x = 143,987,557.50/17,727
  6. Step 6: Final answer
    x = 8,122.50

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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.