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Finding the Fourth Proportional to 16,833.54, 23,230.38 and 9,764.16

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Solution

The fourth proportional to 16,833.54, 23,230.38 and 9,764.16 is: 13,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.54 : 23,230.38 = 9,764.16 : x
  2. Step 2: Convert to fraction form
    16,833.54/23,230.38 = 9,764.16/x
  3. Step 3: Cross multiply
    16,833.54x = 23,230.38 × 9,764.16
  4. Step 4: Simplify right side
    16,833.54x = 226,825,147.18
  5. Step 5: Solve for x
    x = 226,825,147.18/16,833.54
  6. Step 6: Final answer
    x = 13,474.60

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Why These Related Problems?

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