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Finding the Fourth Proportional to 18,409.32, 27,630.54 and 12,471.84

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Solution

The fourth proportional to 18,409.32, 27,630.54 and 12,471.84 is: 18,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.32 : 27,630.54 = 12,471.84 : x
  2. Step 2: Convert to fraction form
    18,409.32/27,630.54 = 12,471.84/x
  3. Step 3: Cross multiply
    18,409.32x = 27,630.54 × 12,471.84
  4. Step 4: Simplify right side
    18,409.32x = 344,603,673.99
  5. Step 5: Solve for x
    x = 344,603,673.99/18,409.32
  6. Step 6: Final answer
    x = 18,718.98

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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.