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Finding the Fourth Proportional to 10,104.72, 13,940.73 and 10,089.14

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Solution

The fourth proportional to 10,104.72, 13,940.73 and 10,089.14 is: 13,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.72 : 13,940.73 = 10,089.14 : x
  2. Step 2: Convert to fraction form
    10,104.72/13,940.73 = 10,089.14/x
  3. Step 3: Cross multiply
    10,104.72x = 13,940.73 × 10,089.14
  4. Step 4: Simplify right side
    10,104.72x = 140,649,976.67
  5. Step 5: Solve for x
    x = 140,649,976.67/10,104.72
  6. Step 6: Final answer
    x = 13,919.24

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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.