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Finding the Fourth Proportional to 22,116, 30,520.26 and 12,180

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Solution

The fourth proportional to 22,116, 30,520.26 and 12,180 is: 16,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,116 : 30,520.26 = 12,180 : x
  2. Step 2: Convert to fraction form
    22,116/30,520.26 = 12,180/x
  3. Step 3: Cross multiply
    22,116x = 30,520.26 × 12,180
  4. Step 4: Simplify right side
    22,116x = 371,736,766.80
  5. Step 5: Solve for x
    x = 371,736,766.80/22,116
  6. Step 6: Final answer
    x = 16,808.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.