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Finding the Fourth Proportional to 27,217.86, 40,807.62 and 12,406.38

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Solution

The fourth proportional to 27,217.86, 40,807.62 and 12,406.38 is: 18,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,217.86 : 40,807.62 = 12,406.38 : x
  2. Step 2: Convert to fraction form
    27,217.86/40,807.62 = 12,406.38/x
  3. Step 3: Cross multiply
    27,217.86x = 40,807.62 × 12,406.38
  4. Step 4: Simplify right side
    27,217.86x = 506,274,840.62
  5. Step 5: Solve for x
    x = 506,274,840.62/27,217.86
  6. Step 6: Final answer
    x = 18,600.83

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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.