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Finding the Fourth Proportional to 18,574.40, 27,861.60 and 8,206.40

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Solution

The fourth proportional to 18,574.40, 27,861.60 and 8,206.40 is: 12,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,574.40 : 27,861.60 = 8,206.40 : x
  2. Step 2: Convert to fraction form
    18,574.40/27,861.60 = 8,206.40/x
  3. Step 3: Cross multiply
    18,574.40x = 27,861.60 × 8,206.40
  4. Step 4: Simplify right side
    18,574.40x = 228,643,434.24
  5. Step 5: Solve for x
    x = 228,643,434.24/18,574.40
  6. Step 6: Final answer
    x = 12,309.60

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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.