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Finding the Fourth Proportional to 27,004, 37,265.52 and 15,826

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Solution

The fourth proportional to 27,004, 37,265.52 and 15,826 is: 21,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004 : 37,265.52 = 15,826 : x
  2. Step 2: Convert to fraction form
    27,004/37,265.52 = 15,826/x
  3. Step 3: Cross multiply
    27,004x = 37,265.52 × 15,826
  4. Step 4: Simplify right side
    27,004x = 589,764,119.52
  5. Step 5: Solve for x
    x = 589,764,119.52/27,004
  6. Step 6: Final answer
    x = 21,839.88

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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.