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Finding the Fourth Proportional to 16,921.16, 23,350.34 and 9,264.23

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Solution

The fourth proportional to 16,921.16, 23,350.34 and 9,264.23 is: 12,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,921.16 : 23,350.34 = 9,264.23 : x
  2. Step 2: Convert to fraction form
    16,921.16/23,350.34 = 9,264.23/x
  3. Step 3: Cross multiply
    16,921.16x = 23,350.34 × 9,264.23
  4. Step 4: Simplify right side
    16,921.16x = 216,322,757.27
  5. Step 5: Solve for x
    x = 216,322,757.27/16,921.16
  6. Step 6: Final answer
    x = 12,784.16

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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.