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Finding the Fourth Proportional to 17,838.82, 24,593.59 and 15,310

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Solution

The fourth proportional to 17,838.82, 24,593.59 and 15,310 is: 21,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.82 : 24,593.59 = 15,310 : x
  2. Step 2: Convert to fraction form
    17,838.82/24,593.59 = 15,310/x
  3. Step 3: Cross multiply
    17,838.82x = 24,593.59 × 15,310
  4. Step 4: Simplify right side
    17,838.82x = 376,527,862.90
  5. Step 5: Solve for x
    x = 376,527,862.90/17,838.82
  6. Step 6: Final answer
    x = 21,107.22

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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.