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Finding the Fourth Proportional to 12,565.48, 18,826.62 and 9,791.08

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Solution

The fourth proportional to 12,565.48, 18,826.62 and 9,791.08 is: 14,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.48 : 18,826.62 = 9,791.08 : x
  2. Step 2: Convert to fraction form
    12,565.48/18,826.62 = 9,791.08/x
  3. Step 3: Cross multiply
    12,565.48x = 18,826.62 × 9,791.08
  4. Step 4: Simplify right side
    12,565.48x = 184,332,942.55
  5. Step 5: Solve for x
    x = 184,332,942.55/12,565.48
  6. Step 6: Final answer
    x = 14,669.79

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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.