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Finding the Fourth Proportional to 12,167.56, 18,238.92 and 5,598.64

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Solution

The fourth proportional to 12,167.56, 18,238.92 and 5,598.64 is: 8,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.56 : 18,238.92 = 5,598.64 : x
  2. Step 2: Convert to fraction form
    12,167.56/18,238.92 = 5,598.64/x
  3. Step 3: Cross multiply
    12,167.56x = 18,238.92 × 5,598.64
  4. Step 4: Simplify right side
    12,167.56x = 102,113,147.07
  5. Step 5: Solve for x
    x = 102,113,147.07/12,167.56
  6. Step 6: Final answer
    x = 8,392.25

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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.