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Finding the Fourth Proportional to 16,933, 23,362.14 and 10,969.24

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Solution

The fourth proportional to 16,933, 23,362.14 and 10,969.24 is: 15,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,933 : 23,362.14 = 10,969.24 : x
  2. Step 2: Convert to fraction form
    16,933/23,362.14 = 10,969.24/x
  3. Step 3: Cross multiply
    16,933x = 23,362.14 × 10,969.24
  4. Step 4: Simplify right side
    16,933x = 256,264,920.57
  5. Step 5: Solve for x
    x = 256,264,920.57/16,933
  6. Step 6: Final answer
    x = 15,134.05

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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.