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Finding the Fourth Proportional to 12,989.09, 19,452.71 and 8,294.56

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Solution

The fourth proportional to 12,989.09, 19,452.71 and 8,294.56 is: 12,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.09 : 19,452.71 = 8,294.56 : x
  2. Step 2: Convert to fraction form
    12,989.09/19,452.71 = 8,294.56/x
  3. Step 3: Cross multiply
    12,989.09x = 19,452.71 × 8,294.56
  4. Step 4: Simplify right side
    12,989.09x = 161,351,741.32
  5. Step 5: Solve for x
    x = 161,351,741.32/12,989.09
  6. Step 6: Final answer
    x = 12,422.09

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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.