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Finding the Fourth Proportional to 12,187.79, 18,284.76 and 5,618.59

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Solution

The fourth proportional to 12,187.79, 18,284.76 and 5,618.59 is: 8,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.79 : 18,284.76 = 5,618.59 : x
  2. Step 2: Convert to fraction form
    12,187.79/18,284.76 = 5,618.59/x
  3. Step 3: Cross multiply
    12,187.79x = 18,284.76 × 5,618.59
  4. Step 4: Simplify right side
    12,187.79x = 102,734,509.93
  5. Step 5: Solve for x
    x = 102,734,509.93/12,187.79
  6. Step 6: Final answer
    x = 8,429.30

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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.