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Finding the Fourth Proportional to 18,561.18, 27,838.94 and 6,082.50

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Solution

The fourth proportional to 18,561.18, 27,838.94 and 6,082.50 is: 9,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.18 : 27,838.94 = 6,082.50 : x
  2. Step 2: Convert to fraction form
    18,561.18/27,838.94 = 6,082.50/x
  3. Step 3: Cross multiply
    18,561.18x = 27,838.94 × 6,082.50
  4. Step 4: Simplify right side
    18,561.18x = 169,330,352.55
  5. Step 5: Solve for x
    x = 169,330,352.55/18,561.18
  6. Step 6: Final answer
    x = 9,122.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.