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Finding the Fourth Proportional to 16,705.33, 23,049.84 and 9,989.89

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Solution

The fourth proportional to 16,705.33, 23,049.84 and 9,989.89 is: 13,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.33 : 23,049.84 = 9,989.89 : x
  2. Step 2: Convert to fraction form
    16,705.33/23,049.84 = 9,989.89/x
  3. Step 3: Cross multiply
    16,705.33x = 23,049.84 × 9,989.89
  4. Step 4: Simplify right side
    16,705.33x = 230,265,366.12
  5. Step 5: Solve for x
    x = 230,265,366.12/16,705.33
  6. Step 6: Final answer
    x = 13,783.95

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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.