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Finding the Fourth Proportional to 21,904.19, 30,227.75 and 12,472.75

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Solution

The fourth proportional to 21,904.19, 30,227.75 and 12,472.75 is: 17,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904.19 : 30,227.75 = 12,472.75 : x
  2. Step 2: Convert to fraction form
    21,904.19/30,227.75 = 12,472.75/x
  3. Step 3: Cross multiply
    21,904.19x = 30,227.75 × 12,472.75
  4. Step 4: Simplify right side
    21,904.19x = 377,023,275.56
  5. Step 5: Solve for x
    x = 377,023,275.56/21,904.19
  6. Step 6: Final answer
    x = 17,212.38

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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.