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Finding the Fourth Proportional to 21,773.38, 30,019.43 and 14,103.12

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Solution

The fourth proportional to 21,773.38, 30,019.43 and 14,103.12 is: 19,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.38 : 30,019.43 = 14,103.12 : x
  2. Step 2: Convert to fraction form
    21,773.38/30,019.43 = 14,103.12/x
  3. Step 3: Cross multiply
    21,773.38x = 30,019.43 × 14,103.12
  4. Step 4: Simplify right side
    21,773.38x = 423,367,623.62
  5. Step 5: Solve for x
    x = 423,367,623.62/21,773.38
  6. Step 6: Final answer
    x = 19,444.28

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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.