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Finding the Fourth Proportional to 22,159.14, 33,257.92 and 11,636.58

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Solution

The fourth proportional to 22,159.14, 33,257.92 and 11,636.58 is: 17,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.14 : 33,257.92 = 11,636.58 : x
  2. Step 2: Convert to fraction form
    22,159.14/33,257.92 = 11,636.58/x
  3. Step 3: Cross multiply
    22,159.14x = 33,257.92 × 11,636.58
  4. Step 4: Simplify right side
    22,159.14x = 387,008,446.71
  5. Step 5: Solve for x
    x = 387,008,446.71/22,159.14
  6. Step 6: Final answer
    x = 17,464.96

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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.