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Finding the Fourth Proportional to 18,149.64, 27,207.18 and 5,829

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Solution

The fourth proportional to 18,149.64, 27,207.18 and 5,829 is: 8,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,149.64 : 27,207.18 = 5,829 : x
  2. Step 2: Convert to fraction form
    18,149.64/27,207.18 = 5,829/x
  3. Step 3: Cross multiply
    18,149.64x = 27,207.18 × 5,829
  4. Step 4: Simplify right side
    18,149.64x = 158,590,652.22
  5. Step 5: Solve for x
    x = 158,590,652.22/18,149.64
  6. Step 6: Final answer
    x = 8,737.95

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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.