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Finding the Fourth Proportional to 27,001, 37,264.98 and 15,823

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Solution

The fourth proportional to 27,001, 37,264.98 and 15,823 is: 21,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,001 : 37,264.98 = 15,823 : x
  2. Step 2: Convert to fraction form
    27,001/37,264.98 = 15,823/x
  3. Step 3: Cross multiply
    27,001x = 37,264.98 × 15,823
  4. Step 4: Simplify right side
    27,001x = 589,643,778.54
  5. Step 5: Solve for x
    x = 589,643,778.54/27,001
  6. Step 6: Final answer
    x = 21,837.85

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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.