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Finding the Fourth Proportional to 27,122.38, 40,684.30 and 8,654.38

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Solution

The fourth proportional to 27,122.38, 40,684.30 and 8,654.38 is: 12,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122.38 : 40,684.30 = 8,654.38 : x
  2. Step 2: Convert to fraction form
    27,122.38/40,684.30 = 8,654.38/x
  3. Step 3: Cross multiply
    27,122.38x = 40,684.30 × 8,654.38
  4. Step 4: Simplify right side
    27,122.38x = 352,097,392.23
  5. Step 5: Solve for x
    x = 352,097,392.23/27,122.38
  6. Step 6: Final answer
    x = 12,981.80

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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.