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Finding the Fourth Proportional to 22,654.35, 33,968.07 and 6,854.58

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Solution

The fourth proportional to 22,654.35, 33,968.07 and 6,854.58 is: 10,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.35 : 33,968.07 = 6,854.58 : x
  2. Step 2: Convert to fraction form
    22,654.35/33,968.07 = 6,854.58/x
  3. Step 3: Cross multiply
    22,654.35x = 33,968.07 × 6,854.58
  4. Step 4: Simplify right side
    22,654.35x = 232,836,853.26
  5. Step 5: Solve for x
    x = 232,836,853.26/22,654.35
  6. Step 6: Final answer
    x = 10,277.80

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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.