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Finding the Fourth Proportional to 27,795.38, 38,363.56 and 17,721.50

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Solution

The fourth proportional to 27,795.38, 38,363.56 and 17,721.50 is: 24,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,795.38 : 38,363.56 = 17,721.50 : x
  2. Step 2: Convert to fraction form
    27,795.38/38,363.56 = 17,721.50/x
  3. Step 3: Cross multiply
    27,795.38x = 38,363.56 × 17,721.50
  4. Step 4: Simplify right side
    27,795.38x = 679,859,828.54
  5. Step 5: Solve for x
    x = 679,859,828.54/27,795.38
  6. Step 6: Final answer
    x = 24,459.45

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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.