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Finding the Fourth Proportional to 27,891.42, 38,490.17 and 15,316.17

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Solution

The fourth proportional to 27,891.42, 38,490.17 and 15,316.17 is: 21,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891.42 : 38,490.17 = 15,316.17 : x
  2. Step 2: Convert to fraction form
    27,891.42/38,490.17 = 15,316.17/x
  3. Step 3: Cross multiply
    27,891.42x = 38,490.17 × 15,316.17
  4. Step 4: Simplify right side
    27,891.42x = 589,521,910.47
  5. Step 5: Solve for x
    x = 589,521,910.47/27,891.42
  6. Step 6: Final answer
    x = 21,136.32

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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.