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Finding the Fourth Proportional to 18,585.86, 27,884.25 and 9,826.92

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Solution

The fourth proportional to 18,585.86, 27,884.25 and 9,826.92 is: 14,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585.86 : 27,884.25 = 9,826.92 : x
  2. Step 2: Convert to fraction form
    18,585.86/27,884.25 = 9,826.92/x
  3. Step 3: Cross multiply
    18,585.86x = 27,884.25 × 9,826.92
  4. Step 4: Simplify right side
    18,585.86x = 274,016,294.01
  5. Step 5: Solve for x
    x = 274,016,294.01/18,585.86
  6. Step 6: Final answer
    x = 14,743.27

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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.