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Finding the Fourth Proportional to 16,219.66, 22,379.31 and 9,846.10

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Solution

The fourth proportional to 16,219.66, 22,379.31 and 9,846.10 is: 13,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.66 : 22,379.31 = 9,846.10 : x
  2. Step 2: Convert to fraction form
    16,219.66/22,379.31 = 9,846.10/x
  3. Step 3: Cross multiply
    16,219.66x = 22,379.31 × 9,846.10
  4. Step 4: Simplify right side
    16,219.66x = 220,348,812.29
  5. Step 5: Solve for x
    x = 220,348,812.29/16,219.66
  6. Step 6: Final answer
    x = 13,585.29

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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.