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Finding the Fourth Proportional to 22,005.62, 30,378.22 and 13,943.30

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Solution

The fourth proportional to 22,005.62, 30,378.22 and 13,943.30 is: 19,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.62 : 30,378.22 = 13,943.30 : x
  2. Step 2: Convert to fraction form
    22,005.62/30,378.22 = 13,943.30/x
  3. Step 3: Cross multiply
    22,005.62x = 30,378.22 × 13,943.30
  4. Step 4: Simplify right side
    22,005.62x = 423,572,634.93
  5. Step 5: Solve for x
    x = 423,572,634.93/22,005.62
  6. Step 6: Final answer
    x = 19,248.38

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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.