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Finding the Fourth Proportional to 16,585.98, 24,869.61 and 6,193.50

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Solution

The fourth proportional to 16,585.98, 24,869.61 and 6,193.50 is: 9,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.98 : 24,869.61 = 6,193.50 : x
  2. Step 2: Convert to fraction form
    16,585.98/24,869.61 = 6,193.50/x
  3. Step 3: Cross multiply
    16,585.98x = 24,869.61 × 6,193.50
  4. Step 4: Simplify right side
    16,585.98x = 154,029,929.54
  5. Step 5: Solve for x
    x = 154,029,929.54/16,585.98
  6. Step 6: Final answer
    x = 9,286.75

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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.