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Finding the Fourth Proportional to 12,187.11, 18,266.65 and 5,599.46

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Solution

The fourth proportional to 12,187.11, 18,266.65 and 5,599.46 is: 8,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.11 : 18,266.65 = 5,599.46 : x
  2. Step 2: Convert to fraction form
    12,187.11/18,266.65 = 5,599.46/x
  3. Step 3: Cross multiply
    12,187.11x = 18,266.65 × 5,599.46
  4. Step 4: Simplify right side
    12,187.11x = 102,283,376.01
  5. Step 5: Solve for x
    x = 102,283,376.01/12,187.11
  6. Step 6: Final answer
    x = 8,392.75

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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.