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Finding the Fourth Proportional to 22,654.51, 31,265.69 and 13,706.95

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Solution

The fourth proportional to 22,654.51, 31,265.69 and 13,706.95 is: 18,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.51 : 31,265.69 = 13,706.95 : x
  2. Step 2: Convert to fraction form
    22,654.51/31,265.69 = 13,706.95/x
  3. Step 3: Cross multiply
    22,654.51x = 31,265.69 × 13,706.95
  4. Step 4: Simplify right side
    22,654.51x = 428,557,249.55
  5. Step 5: Solve for x
    x = 428,557,249.55/22,654.51
  6. Step 6: Final answer
    x = 18,917.08

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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.