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Finding the Fourth Proportional to 15,974.01, 23,960.81 and 7,202.72

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Solution

The fourth proportional to 15,974.01, 23,960.81 and 7,202.72 is: 10,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974.01 : 23,960.81 = 7,202.72 : x
  2. Step 2: Convert to fraction form
    15,974.01/23,960.81 = 7,202.72/x
  3. Step 3: Cross multiply
    15,974.01x = 23,960.81 × 7,202.72
  4. Step 4: Simplify right side
    15,974.01x = 172,583,083.31
  5. Step 5: Solve for x
    x = 172,583,083.31/15,974.01
  6. Step 6: Final answer
    x = 10,803.99

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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.