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Finding the Fourth Proportional to 27,663.72, 38,175.90 and 15,088.50

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Solution

The fourth proportional to 27,663.72, 38,175.90 and 15,088.50 is: 20,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663.72 : 38,175.90 = 15,088.50 : x
  2. Step 2: Convert to fraction form
    27,663.72/38,175.90 = 15,088.50/x
  3. Step 3: Cross multiply
    27,663.72x = 38,175.90 × 15,088.50
  4. Step 4: Simplify right side
    27,663.72x = 576,017,067.15
  5. Step 5: Solve for x
    x = 576,017,067.15/27,663.72
  6. Step 6: Final answer
    x = 20,822.11

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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.