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Finding the Fourth Proportional to 27,540.78, 38,006.28 and 14,965.50

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Solution

The fourth proportional to 27,540.78, 38,006.28 and 14,965.50 is: 20,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540.78 : 38,006.28 = 14,965.50 : x
  2. Step 2: Convert to fraction form
    27,540.78/38,006.28 = 14,965.50/x
  3. Step 3: Cross multiply
    27,540.78x = 38,006.28 × 14,965.50
  4. Step 4: Simplify right side
    27,540.78x = 568,782,983.34
  5. Step 5: Solve for x
    x = 568,782,983.34/27,540.78
  6. Step 6: Final answer
    x = 20,652.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.