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Finding the Fourth Proportional to 12,214.86, 18,322.29 and 5,287.74

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Solution

The fourth proportional to 12,214.86, 18,322.29 and 5,287.74 is: 7,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.86 : 18,322.29 = 5,287.74 : x
  2. Step 2: Convert to fraction form
    12,214.86/18,322.29 = 5,287.74/x
  3. Step 3: Cross multiply
    12,214.86x = 18,322.29 × 5,287.74
  4. Step 4: Simplify right side
    12,214.86x = 96,883,505.72
  5. Step 5: Solve for x
    x = 96,883,505.72/12,214.86
  6. Step 6: Final answer
    x = 7,931.61

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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.