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Finding the Fourth Proportional to 10,349.43, 14,189.02 and 10,162.90

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Solution

The fourth proportional to 10,349.43, 14,189.02 and 10,162.90 is: 13,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.43 : 14,189.02 = 10,162.90 : x
  2. Step 2: Convert to fraction form
    10,349.43/14,189.02 = 10,162.90/x
  3. Step 3: Cross multiply
    10,349.43x = 14,189.02 × 10,162.90
  4. Step 4: Simplify right side
    10,349.43x = 144,201,591.36
  5. Step 5: Solve for x
    x = 144,201,591.36/10,349.43
  6. Step 6: Final answer
    x = 13,933.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.