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Finding the Fourth Proportional to 18,040.50, 24,896.34 and 10,084.05

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Solution

The fourth proportional to 18,040.50, 24,896.34 and 10,084.05 is: 13,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,040.50 : 24,896.34 = 10,084.05 : x
  2. Step 2: Convert to fraction form
    18,040.50/24,896.34 = 10,084.05/x
  3. Step 3: Cross multiply
    18,040.50x = 24,896.34 × 10,084.05
  4. Step 4: Simplify right side
    18,040.50x = 251,055,937.38
  5. Step 5: Solve for x
    x = 251,055,937.38/18,040.50
  6. Step 6: Final answer
    x = 13,916.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.