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Finding the Fourth Proportional to 15,401.92, 23,094.24 and 9,163.84

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Solution

The fourth proportional to 15,401.92, 23,094.24 and 9,163.84 is: 13,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,401.92 : 23,094.24 = 9,163.84 : x
  2. Step 2: Convert to fraction form
    15,401.92/23,094.24 = 9,163.84/x
  3. Step 3: Cross multiply
    15,401.92x = 23,094.24 × 9,163.84
  4. Step 4: Simplify right side
    15,401.92x = 211,631,920.28
  5. Step 5: Solve for x
    x = 211,631,920.28/15,401.92
  6. Step 6: Final answer
    x = 13,740.62

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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.