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Finding the Fourth Proportional to 12,356.31, 18,536.22 and 4,033.71

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Solution

The fourth proportional to 12,356.31, 18,536.22 and 4,033.71 is: 6,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.31 : 18,536.22 = 4,033.71 : x
  2. Step 2: Convert to fraction form
    12,356.31/18,536.22 = 4,033.71/x
  3. Step 3: Cross multiply
    12,356.31x = 18,536.22 × 4,033.71
  4. Step 4: Simplify right side
    12,356.31x = 74,769,735.98
  5. Step 5: Solve for x
    x = 74,769,735.98/12,356.31
  6. Step 6: Final answer
    x = 6,051.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.