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Finding the Fourth Proportional to 12,198, 18,297.90 and 8,931.72

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Solution

The fourth proportional to 12,198, 18,297.90 and 8,931.72 is: 13,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198 : 18,297.90 = 8,931.72 : x
  2. Step 2: Convert to fraction form
    12,198/18,297.90 = 8,931.72/x
  3. Step 3: Cross multiply
    12,198x = 18,297.90 × 8,931.72
  4. Step 4: Simplify right side
    12,198x = 163,431,719.39
  5. Step 5: Solve for x
    x = 163,431,719.39/12,198
  6. Step 6: Final answer
    x = 13,398.24

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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.