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Finding the Fourth Proportional to 16,431.97, 24,630.19 and 6,560.40

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Solution

The fourth proportional to 16,431.97, 24,630.19 and 6,560.40 is: 9,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.97 : 24,630.19 = 6,560.40 : x
  2. Step 2: Convert to fraction form
    16,431.97/24,630.19 = 6,560.40/x
  3. Step 3: Cross multiply
    16,431.97x = 24,630.19 × 6,560.40
  4. Step 4: Simplify right side
    16,431.97x = 161,583,914.39
  5. Step 5: Solve for x
    x = 161,583,914.39/16,431.97
  6. Step 6: Final answer
    x = 9,833.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.