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Finding the Fourth Proportional to 27,186.84, 37,498.95 and 22,151.07

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Solution

The fourth proportional to 27,186.84, 37,498.95 and 22,151.07 is: 30,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.84 : 37,498.95 = 22,151.07 : x
  2. Step 2: Convert to fraction form
    27,186.84/37,498.95 = 22,151.07/x
  3. Step 3: Cross multiply
    27,186.84x = 37,498.95 × 22,151.07
  4. Step 4: Simplify right side
    27,186.84x = 830,641,866.38
  5. Step 5: Solve for x
    x = 830,641,866.38/27,186.84
  6. Step 6: Final answer
    x = 30,553.09

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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.