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Finding the Fourth Proportional to 26,757.72, 40,139.82 and 12,897

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Solution

The fourth proportional to 26,757.72, 40,139.82 and 12,897 is: 19,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,757.72 : 40,139.82 = 12,897 : x
  2. Step 2: Convert to fraction form
    26,757.72/40,139.82 = 12,897/x
  3. Step 3: Cross multiply
    26,757.72x = 40,139.82 × 12,897
  4. Step 4: Simplify right side
    26,757.72x = 517,683,258.54
  5. Step 5: Solve for x
    x = 517,683,258.54/26,757.72
  6. Step 6: Final answer
    x = 19,347.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.