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Finding the Fourth Proportional to 27,002, 37,262.76 and 15,824

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Solution

The fourth proportional to 27,002, 37,262.76 and 15,824 is: 21,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002 : 37,262.76 = 15,824 : x
  2. Step 2: Convert to fraction form
    27,002/37,262.76 = 15,824/x
  3. Step 3: Cross multiply
    27,002x = 37,262.76 × 15,824
  4. Step 4: Simplify right side
    27,002x = 589,645,914.24
  5. Step 5: Solve for x
    x = 589,645,914.24/27,002
  6. Step 6: Final answer
    x = 21,837.12

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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.