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Finding the Fourth Proportional to 16,105.15, 22,230.62 and 9,735.31

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Solution

The fourth proportional to 16,105.15, 22,230.62 and 9,735.31 is: 13,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.15 : 22,230.62 = 9,735.31 : x
  2. Step 2: Convert to fraction form
    16,105.15/22,230.62 = 9,735.31/x
  3. Step 3: Cross multiply
    16,105.15x = 22,230.62 × 9,735.31
  4. Step 4: Simplify right side
    16,105.15x = 216,421,977.19
  5. Step 5: Solve for x
    x = 216,421,977.19/16,105.15
  6. Step 6: Final answer
    x = 13,438.06

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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.