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Finding the Fourth Proportional to 26,539.44, 39,802.78 and 7,814.38

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Solution

The fourth proportional to 26,539.44, 39,802.78 and 7,814.38 is: 11,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,539.44 : 39,802.78 = 7,814.38 : x
  2. Step 2: Convert to fraction form
    26,539.44/39,802.78 = 7,814.38/x
  3. Step 3: Cross multiply
    26,539.44x = 39,802.78 × 7,814.38
  4. Step 4: Simplify right side
    26,539.44x = 311,034,047.98
  5. Step 5: Solve for x
    x = 311,034,047.98/26,539.44
  6. Step 6: Final answer
    x = 11,719.69

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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.