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Finding the Fourth Proportional to 26,142.03, 39,191 and 11,339.80

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Solution

The fourth proportional to 26,142.03, 39,191 and 11,339.80 is: 17,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142.03 : 39,191 = 11,339.80 : x
  2. Step 2: Convert to fraction form
    26,142.03/39,191 = 11,339.80/x
  3. Step 3: Cross multiply
    26,142.03x = 39,191 × 11,339.80
  4. Step 4: Simplify right side
    26,142.03x = 444,418,101.80
  5. Step 5: Solve for x
    x = 444,418,101.80/26,142.03
  6. Step 6: Final answer
    x = 17,000.14

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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.