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Finding the Fourth Proportional to 12,187.74, 18,280.80 and 4,793.49

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Solution

The fourth proportional to 12,187.74, 18,280.80 and 4,793.49 is: 7,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.74 : 18,280.80 = 4,793.49 : x
  2. Step 2: Convert to fraction form
    12,187.74/18,280.80 = 4,793.49/x
  3. Step 3: Cross multiply
    12,187.74x = 18,280.80 × 4,793.49
  4. Step 4: Simplify right side
    12,187.74x = 87,628,831.99
  5. Step 5: Solve for x
    x = 87,628,831.99/12,187.74
  6. Step 6: Final answer
    x = 7,189.92

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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.