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Finding the Fourth Proportional to 16,833.39, 23,228.70 and 9,760.28

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Solution

The fourth proportional to 16,833.39, 23,228.70 and 9,760.28 is: 13,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.39 : 23,228.70 = 9,760.28 : x
  2. Step 2: Convert to fraction form
    16,833.39/23,228.70 = 9,760.28/x
  3. Step 3: Cross multiply
    16,833.39x = 23,228.70 × 9,760.28
  4. Step 4: Simplify right side
    16,833.39x = 226,718,499.89
  5. Step 5: Solve for x
    x = 226,718,499.89/16,833.39
  6. Step 6: Final answer
    x = 13,468.38

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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.