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Finding the Fourth Proportional to 16,983.39, 23,431.80 and 9,904.80

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Solution

The fourth proportional to 16,983.39, 23,431.80 and 9,904.80 is: 13,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983.39 : 23,431.80 = 9,904.80 : x
  2. Step 2: Convert to fraction form
    16,983.39/23,431.80 = 9,904.80/x
  3. Step 3: Cross multiply
    16,983.39x = 23,431.80 × 9,904.80
  4. Step 4: Simplify right side
    16,983.39x = 232,087,292.64
  5. Step 5: Solve for x
    x = 232,087,292.64/16,983.39
  6. Step 6: Final answer
    x = 13,665.55

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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.