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Finding the Fourth Proportional to 18,574.42, 27,861.16 and 4,534.49

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Solution

The fourth proportional to 18,574.42, 27,861.16 and 4,534.49 is: 6,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,574.42 : 27,861.16 = 4,534.49 : x
  2. Step 2: Convert to fraction form
    18,574.42/27,861.16 = 4,534.49/x
  3. Step 3: Cross multiply
    18,574.42x = 27,861.16 × 4,534.49
  4. Step 4: Simplify right side
    18,574.42x = 126,336,151.41
  5. Step 5: Solve for x
    x = 126,336,151.41/18,574.42
  6. Step 6: Final answer
    x = 6,801.62

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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.