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Finding the Fourth Proportional to 11,968.32, 17,927.78 and 7,023.09

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Solution

The fourth proportional to 11,968.32, 17,927.78 and 7,023.09 is: 10,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.32 : 17,927.78 = 7,023.09 : x
  2. Step 2: Convert to fraction form
    11,968.32/17,927.78 = 7,023.09/x
  3. Step 3: Cross multiply
    11,968.32x = 17,927.78 × 7,023.09
  4. Step 4: Simplify right side
    11,968.32x = 125,908,377.32
  5. Step 5: Solve for x
    x = 125,908,377.32/11,968.32
  6. Step 6: Final answer
    x = 10,520.14

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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.