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Finding the Fourth Proportional to 26,841.78, 40,265.10 and 9,072

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Solution

The fourth proportional to 26,841.78, 40,265.10 and 9,072 is: 13,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,841.78 : 40,265.10 = 9,072 : x
  2. Step 2: Convert to fraction form
    26,841.78/40,265.10 = 9,072/x
  3. Step 3: Cross multiply
    26,841.78x = 40,265.10 × 9,072
  4. Step 4: Simplify right side
    26,841.78x = 365,284,987.20
  5. Step 5: Solve for x
    x = 365,284,987.20/26,841.78
  6. Step 6: Final answer
    x = 13,608.82

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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.