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Finding the Fourth Proportional to 16,578.16, 24,871.60 and 6,190

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Solution

The fourth proportional to 16,578.16, 24,871.60 and 6,190 is: 9,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.16 : 24,871.60 = 6,190 : x
  2. Step 2: Convert to fraction form
    16,578.16/24,871.60 = 6,190/x
  3. Step 3: Cross multiply
    16,578.16x = 24,871.60 × 6,190
  4. Step 4: Simplify right side
    16,578.16x = 153,955,204
  5. Step 5: Solve for x
    x = 153,955,204/16,578.16
  6. Step 6: Final answer
    x = 9,286.63

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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.