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Finding the Fourth Proportional to 29,206.39, 43,826.46 and 12,338.14

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Solution

The fourth proportional to 29,206.39, 43,826.46 and 12,338.14 is: 18,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206.39 : 43,826.46 = 12,338.14 : x
  2. Step 2: Convert to fraction form
    29,206.39/43,826.46 = 12,338.14/x
  3. Step 3: Cross multiply
    29,206.39x = 43,826.46 × 12,338.14
  4. Step 4: Simplify right side
    29,206.39x = 540,736,999.18
  5. Step 5: Solve for x
    x = 540,736,999.18/29,206.39
  6. Step 6: Final answer
    x = 18,514.34

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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.