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Finding the Fourth Proportional to 16,891.24, 23,304.20 and 9,811.84

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Solution

The fourth proportional to 16,891.24, 23,304.20 and 9,811.84 is: 13,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,891.24 : 23,304.20 = 9,811.84 : x
  2. Step 2: Convert to fraction form
    16,891.24/23,304.20 = 9,811.84/x
  3. Step 3: Cross multiply
    16,891.24x = 23,304.20 × 9,811.84
  4. Step 4: Simplify right side
    16,891.24x = 228,657,081.73
  5. Step 5: Solve for x
    x = 228,657,081.73/16,891.24
  6. Step 6: Final answer
    x = 13,537.02

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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.