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Finding the Fourth Proportional to 21,834.82, 30,132.06 and 11,898.82

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Solution

The fourth proportional to 21,834.82, 30,132.06 and 11,898.82 is: 16,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.82 : 30,132.06 = 11,898.82 : x
  2. Step 2: Convert to fraction form
    21,834.82/30,132.06 = 11,898.82/x
  3. Step 3: Cross multiply
    21,834.82x = 30,132.06 × 11,898.82
  4. Step 4: Simplify right side
    21,834.82x = 358,535,958.17
  5. Step 5: Solve for x
    x = 358,535,958.17/21,834.82
  6. Step 6: Final answer
    x = 16,420.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.