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Finding the Fourth Proportional to 10,735.92, 16,008.66 and 10,020.96

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Solution

The fourth proportional to 10,735.92, 16,008.66 and 10,020.96 is: 14,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.92 : 16,008.66 = 10,020.96 : x
  2. Step 2: Convert to fraction form
    10,735.92/16,008.66 = 10,020.96/x
  3. Step 3: Cross multiply
    10,735.92x = 16,008.66 × 10,020.96
  4. Step 4: Simplify right side
    10,735.92x = 160,422,141.51
  5. Step 5: Solve for x
    x = 160,422,141.51/10,735.92
  6. Step 6: Final answer
    x = 14,942.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.