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Finding the Fourth Proportional to 21,420.38, 29,573.08 and 13,981.34

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Solution

The fourth proportional to 21,420.38, 29,573.08 and 13,981.34 is: 19,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420.38 : 29,573.08 = 13,981.34 : x
  2. Step 2: Convert to fraction form
    21,420.38/29,573.08 = 13,981.34/x
  3. Step 3: Cross multiply
    21,420.38x = 29,573.08 × 13,981.34
  4. Step 4: Simplify right side
    21,420.38x = 413,471,286.33
  5. Step 5: Solve for x
    x = 413,471,286.33/21,420.38
  6. Step 6: Final answer
    x = 19,302.71

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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.