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Finding the Fourth Proportional to 13,600.10, 20,381.17 and 7,346.63

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Solution

The fourth proportional to 13,600.10, 20,381.17 and 7,346.63 is: 11,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.10 : 20,381.17 = 7,346.63 : x
  2. Step 2: Convert to fraction form
    13,600.10/20,381.17 = 7,346.63/x
  3. Step 3: Cross multiply
    13,600.10x = 20,381.17 × 7,346.63
  4. Step 4: Simplify right side
    13,600.10x = 149,732,914.96
  5. Step 5: Solve for x
    x = 149,732,914.96/13,600.10
  6. Step 6: Final answer
    x = 11,009.69

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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.