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Finding the Fourth Proportional to 22,339.69, 30,829.24 and 12,268.28

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Solution

The fourth proportional to 22,339.69, 30,829.24 and 12,268.28 is: 16,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,339.69 : 30,829.24 = 12,268.28 : x
  2. Step 2: Convert to fraction form
    22,339.69/30,829.24 = 12,268.28/x
  3. Step 3: Cross multiply
    22,339.69x = 30,829.24 × 12,268.28
  4. Step 4: Simplify right side
    22,339.69x = 378,221,748.51
  5. Step 5: Solve for x
    x = 378,221,748.51/22,339.69
  6. Step 6: Final answer
    x = 16,930.48

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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.