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Finding the Fourth Proportional to 16,214.55, 22,373.19 and 9,140.96

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Solution

The fourth proportional to 16,214.55, 22,373.19 and 9,140.96 is: 12,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.55 : 22,373.19 = 9,140.96 : x
  2. Step 2: Convert to fraction form
    16,214.55/22,373.19 = 9,140.96/x
  3. Step 3: Cross multiply
    16,214.55x = 22,373.19 × 9,140.96
  4. Step 4: Simplify right side
    16,214.55x = 204,512,490.80
  5. Step 5: Solve for x
    x = 204,512,490.80/16,214.55
  6. Step 6: Final answer
    x = 12,612.90

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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.