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Finding the Fourth Proportional to 10,228.16, 14,155.44 and 9,982.82

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Solution

The fourth proportional to 10,228.16, 14,155.44 and 9,982.82 is: 13,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.16 : 14,155.44 = 9,982.82 : x
  2. Step 2: Convert to fraction form
    10,228.16/14,155.44 = 9,982.82/x
  3. Step 3: Cross multiply
    10,228.16x = 14,155.44 × 9,982.82
  4. Step 4: Simplify right side
    10,228.16x = 141,311,209.54
  5. Step 5: Solve for x
    x = 141,311,209.54/10,228.16
  6. Step 6: Final answer
    x = 13,815.90

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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.