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Finding the Fourth Proportional to 26,442.14, 39,657.07 and 7,718.22

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Solution

The fourth proportional to 26,442.14, 39,657.07 and 7,718.22 is: 11,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,442.14 : 39,657.07 = 7,718.22 : x
  2. Step 2: Convert to fraction form
    26,442.14/39,657.07 = 7,718.22/x
  3. Step 3: Cross multiply
    26,442.14x = 39,657.07 × 7,718.22
  4. Step 4: Simplify right side
    26,442.14x = 306,081,990.82
  5. Step 5: Solve for x
    x = 306,081,990.82/26,442.14
  6. Step 6: Final answer
    x = 11,575.54

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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.