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Finding the Fourth Proportional to 27,910, 38,516.08 and 15,335.02

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Solution

The fourth proportional to 27,910, 38,516.08 and 15,335.02 is: 21,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,910 : 38,516.08 = 15,335.02 : x
  2. Step 2: Convert to fraction form
    27,910/38,516.08 = 15,335.02/x
  3. Step 3: Cross multiply
    27,910x = 38,516.08 × 15,335.02
  4. Step 4: Simplify right side
    27,910x = 590,644,857.12
  5. Step 5: Solve for x
    x = 590,644,857.12/27,910
  6. Step 6: Final answer
    x = 21,162.48

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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.