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Finding the Fourth Proportional to 13,221, 19,834.74 and 3,987

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Solution

The fourth proportional to 13,221, 19,834.74 and 3,987 is: 5,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221 : 19,834.74 = 3,987 : x
  2. Step 2: Convert to fraction form
    13,221/19,834.74 = 3,987/x
  3. Step 3: Cross multiply
    13,221x = 19,834.74 × 3,987
  4. Step 4: Simplify right side
    13,221x = 79,081,108.38
  5. Step 5: Solve for x
    x = 79,081,108.38/13,221
  6. Step 6: Final answer
    x = 5,981.48

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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.