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Finding the Fourth Proportional to 10,989.87, 15,174.71 and 10,150.23

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Solution

The fourth proportional to 10,989.87, 15,174.71 and 10,150.23 is: 14,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.87 : 15,174.71 = 10,150.23 : x
  2. Step 2: Convert to fraction form
    10,989.87/15,174.71 = 10,150.23/x
  3. Step 3: Cross multiply
    10,989.87x = 15,174.71 × 10,150.23
  4. Step 4: Simplify right side
    10,989.87x = 154,026,796.68
  5. Step 5: Solve for x
    x = 154,026,796.68/10,989.87
  6. Step 6: Final answer
    x = 14,015.34

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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.