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Finding the Fourth Proportional to 26,140, 39,211.48 and 7,418.56

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Solution

The fourth proportional to 26,140, 39,211.48 and 7,418.56 is: 11,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,140 : 39,211.48 = 7,418.56 : x
  2. Step 2: Convert to fraction form
    26,140/39,211.48 = 7,418.56/x
  3. Step 3: Cross multiply
    26,140x = 39,211.48 × 7,418.56
  4. Step 4: Simplify right side
    26,140x = 290,892,717.07
  5. Step 5: Solve for x
    x = 290,892,717.07/26,140
  6. Step 6: Final answer
    x = 11,128.26

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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.