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Finding the Fourth Proportional to 16,579.40, 24,869.16 and 6,191

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Solution

The fourth proportional to 16,579.40, 24,869.16 and 6,191 is: 9,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,579.40 : 24,869.16 = 6,191 : x
  2. Step 2: Convert to fraction form
    16,579.40/24,869.16 = 6,191/x
  3. Step 3: Cross multiply
    16,579.40x = 24,869.16 × 6,191
  4. Step 4: Simplify right side
    16,579.40x = 153,964,969.56
  5. Step 5: Solve for x
    x = 153,964,969.56/16,579.40
  6. Step 6: Final answer
    x = 9,286.52

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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.