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Finding the Fourth Proportional to 10,990.83, 15,169.64 and 10,105.23

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Solution

The fourth proportional to 10,990.83, 15,169.64 and 10,105.23 is: 13,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.83 : 15,169.64 = 10,105.23 : x
  2. Step 2: Convert to fraction form
    10,990.83/15,169.64 = 10,105.23/x
  3. Step 3: Cross multiply
    10,990.83x = 15,169.64 × 10,105.23
  4. Step 4: Simplify right side
    10,990.83x = 153,292,650.69
  5. Step 5: Solve for x
    x = 153,292,650.69/10,990.83
  6. Step 6: Final answer
    x = 13,947.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.