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Finding the Fourth Proportional to 27,794.10, 41,654.29 and 14,655.77

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Solution

The fourth proportional to 27,794.10, 41,654.29 and 14,655.77 is: 21,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.10 : 41,654.29 = 14,655.77 : x
  2. Step 2: Convert to fraction form
    27,794.10/41,654.29 = 14,655.77/x
  3. Step 3: Cross multiply
    27,794.10x = 41,654.29 × 14,655.77
  4. Step 4: Simplify right side
    27,794.10x = 610,475,693.75
  5. Step 5: Solve for x
    x = 610,475,693.75/27,794.10
  6. Step 6: Final answer
    x = 21,964.22

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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.