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Finding the Fourth Proportional to 15,340.17, 23,027.34 and 7,942.64

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Solution

The fourth proportional to 15,340.17, 23,027.34 and 7,942.64 is: 11,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340.17 : 23,027.34 = 7,942.64 : x
  2. Step 2: Convert to fraction form
    15,340.17/23,027.34 = 7,942.64/x
  3. Step 3: Cross multiply
    15,340.17x = 23,027.34 × 7,942.64
  4. Step 4: Simplify right side
    15,340.17x = 182,897,929.35
  5. Step 5: Solve for x
    x = 182,897,929.35/15,340.17
  6. Step 6: Final answer
    x = 11,922.81

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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.