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Finding the Fourth Proportional to 18,574.38, 27,861.21 and 4,534.50

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Solution

The fourth proportional to 18,574.38, 27,861.21 and 4,534.50 is: 6,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,574.38 : 27,861.21 = 4,534.50 : x
  2. Step 2: Convert to fraction form
    18,574.38/27,861.21 = 4,534.50/x
  3. Step 3: Cross multiply
    18,574.38x = 27,861.21 × 4,534.50
  4. Step 4: Simplify right side
    18,574.38x = 126,336,656.75
  5. Step 5: Solve for x
    x = 126,336,656.75/18,574.38
  6. Step 6: Final answer
    x = 6,801.66

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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.