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Finding the Fourth Proportional to 21,898.84, 30,220.38 and 11,827.27

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Solution

The fourth proportional to 21,898.84, 30,220.38 and 11,827.27 is: 16,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898.84 : 30,220.38 = 11,827.27 : x
  2. Step 2: Convert to fraction form
    21,898.84/30,220.38 = 11,827.27/x
  3. Step 3: Cross multiply
    21,898.84x = 30,220.38 × 11,827.27
  4. Step 4: Simplify right side
    21,898.84x = 357,424,593.76
  5. Step 5: Solve for x
    x = 357,424,593.76/21,898.84
  6. Step 6: Final answer
    x = 16,321.62

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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.