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Finding the Fourth Proportional to 13,381.10, 20,083.98 and 6,812

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Solution

The fourth proportional to 13,381.10, 20,083.98 and 6,812 is: 10,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.10 : 20,083.98 = 6,812 : x
  2. Step 2: Convert to fraction form
    13,381.10/20,083.98 = 6,812/x
  3. Step 3: Cross multiply
    13,381.10x = 20,083.98 × 6,812
  4. Step 4: Simplify right side
    13,381.10x = 136,812,071.76
  5. Step 5: Solve for x
    x = 136,812,071.76/13,381.10
  6. Step 6: Final answer
    x = 10,224.28

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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.