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Finding the Fourth Proportional to 12,144.56, 18,218.57 and 5,904.93

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Solution

The fourth proportional to 12,144.56, 18,218.57 and 5,904.93 is: 8,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.56 : 18,218.57 = 5,904.93 : x
  2. Step 2: Convert to fraction form
    12,144.56/18,218.57 = 5,904.93/x
  3. Step 3: Cross multiply
    12,144.56x = 18,218.57 × 5,904.93
  4. Step 4: Simplify right side
    12,144.56x = 107,579,351.03
  5. Step 5: Solve for x
    x = 107,579,351.03/12,144.56
  6. Step 6: Final answer
    x = 8,858.24

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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.