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Finding the Fourth Proportional to 19,735.01, 27,233.01 and 11,238

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Solution

The fourth proportional to 19,735.01, 27,233.01 and 11,238 is: 15,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.01 : 27,233.01 = 11,238 : x
  2. Step 2: Convert to fraction form
    19,735.01/27,233.01 = 11,238/x
  3. Step 3: Cross multiply
    19,735.01x = 27,233.01 × 11,238
  4. Step 4: Simplify right side
    19,735.01x = 306,044,566.38
  5. Step 5: Solve for x
    x = 306,044,566.38/19,735.01
  6. Step 6: Final answer
    x = 15,507.70

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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.