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Finding the Fourth Proportional to 16,140.40, 22,274.88 and 8,971.18

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Solution

The fourth proportional to 16,140.40, 22,274.88 and 8,971.18 is: 12,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.40 : 22,274.88 = 8,971.18 : x
  2. Step 2: Convert to fraction form
    16,140.40/22,274.88 = 8,971.18/x
  3. Step 3: Cross multiply
    16,140.40x = 22,274.88 × 8,971.18
  4. Step 4: Simplify right side
    16,140.40x = 199,831,957.96
  5. Step 5: Solve for x
    x = 199,831,957.96/16,140.40
  6. Step 6: Final answer
    x = 12,380.86

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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.