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Finding the Fourth Proportional to 27,454, 37,890.59 and 17,383.38

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Solution

The fourth proportional to 27,454, 37,890.59 and 17,383.38 is: 23,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,454 : 37,890.59 = 17,383.38 : x
  2. Step 2: Convert to fraction form
    27,454/37,890.59 = 17,383.38/x
  3. Step 3: Cross multiply
    27,454x = 37,890.59 × 17,383.38
  4. Step 4: Simplify right side
    27,454x = 658,666,248.02
  5. Step 5: Solve for x
    x = 658,666,248.02/27,454
  6. Step 6: Final answer
    x = 23,991.63

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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.