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Finding the Fourth Proportional to 12,627.66, 18,937.31 and 4,192.22

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Solution

The fourth proportional to 12,627.66, 18,937.31 and 4,192.22 is: 6,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.66 : 18,937.31 = 4,192.22 : x
  2. Step 2: Convert to fraction form
    12,627.66/18,937.31 = 4,192.22/x
  3. Step 3: Cross multiply
    12,627.66x = 18,937.31 × 4,192.22
  4. Step 4: Simplify right side
    12,627.66x = 79,389,275.04
  5. Step 5: Solve for x
    x = 79,389,275.04/12,627.66
  6. Step 6: Final answer
    x = 6,286.93

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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.