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Finding the Fourth Proportional to 12,147.64, 18,195.07 and 5,894.52

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Solution

The fourth proportional to 12,147.64, 18,195.07 and 5,894.52 is: 8,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.64 : 18,195.07 = 5,894.52 : x
  2. Step 2: Convert to fraction form
    12,147.64/18,195.07 = 5,894.52/x
  3. Step 3: Cross multiply
    12,147.64x = 18,195.07 × 5,894.52
  4. Step 4: Simplify right side
    12,147.64x = 107,251,204.02
  5. Step 5: Solve for x
    x = 107,251,204.02/12,147.64
  6. Step 6: Final answer
    x = 8,828.97

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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.