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Finding the Fourth Proportional to 11,342.74, 17,012.76 and 3,023.38

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Solution

The fourth proportional to 11,342.74, 17,012.76 and 3,023.38 is: 4,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.74 : 17,012.76 = 3,023.38 : x
  2. Step 2: Convert to fraction form
    11,342.74/17,012.76 = 3,023.38/x
  3. Step 3: Cross multiply
    11,342.74x = 17,012.76 × 3,023.38
  4. Step 4: Simplify right side
    11,342.74x = 51,436,038.33
  5. Step 5: Solve for x
    x = 51,436,038.33/11,342.74
  6. Step 6: Final answer
    x = 4,534.71

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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.