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Finding the Fourth Proportional to 23,145.25, 34,719.50 and 9,294.25

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Solution

The fourth proportional to 23,145.25, 34,719.50 and 9,294.25 is: 13,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.25 : 34,719.50 = 9,294.25 : x
  2. Step 2: Convert to fraction form
    23,145.25/34,719.50 = 9,294.25/x
  3. Step 3: Cross multiply
    23,145.25x = 34,719.50 × 9,294.25
  4. Step 4: Simplify right side
    23,145.25x = 322,691,712.88
  5. Step 5: Solve for x
    x = 322,691,712.88/23,145.25
  6. Step 6: Final answer
    x = 13,942.03

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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.