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Finding the Fourth Proportional to 27,912.25, 38,519.58 and 15,337

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Solution

The fourth proportional to 27,912.25, 38,519.58 and 15,337 is: 21,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912.25 : 38,519.58 = 15,337 : x
  2. Step 2: Convert to fraction form
    27,912.25/38,519.58 = 15,337/x
  3. Step 3: Cross multiply
    27,912.25x = 38,519.58 × 15,337
  4. Step 4: Simplify right side
    27,912.25x = 590,774,798.46
  5. Step 5: Solve for x
    x = 590,774,798.46/27,912.25
  6. Step 6: Final answer
    x = 21,165.43

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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.