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Finding the Fourth Proportional to 12,589.67, 18,881.81 and 5,192.21

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Solution

The fourth proportional to 12,589.67, 18,881.81 and 5,192.21 is: 7,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.67 : 18,881.81 = 5,192.21 : x
  2. Step 2: Convert to fraction form
    12,589.67/18,881.81 = 5,192.21/x
  3. Step 3: Cross multiply
    12,589.67x = 18,881.81 × 5,192.21
  4. Step 4: Simplify right side
    12,589.67x = 98,038,363.41
  5. Step 5: Solve for x
    x = 98,038,363.41/12,589.67
  6. Step 6: Final answer
    x = 7,787.21

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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.