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Finding the Fourth Proportional to 22,435.74, 33,654.15 and 9,284.58

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Solution

The fourth proportional to 22,435.74, 33,654.15 and 9,284.58 is: 13,927.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,435.74 : 33,654.15 = 9,284.58 : x
  2. Step 2: Convert to fraction form
    22,435.74/33,654.15 = 9,284.58/x
  3. Step 3: Cross multiply
    22,435.74x = 33,654.15 × 9,284.58
  4. Step 4: Simplify right side
    22,435.74x = 312,464,648.01
  5. Step 5: Solve for x
    x = 312,464,648.01/22,435.74
  6. Step 6: Final answer
    x = 13,927.09

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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.