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Finding the Fourth Proportional to 21,155.68, 31,735.10 and 7,115.75

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Solution

The fourth proportional to 21,155.68, 31,735.10 and 7,115.75 is: 10,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,155.68 : 31,735.10 = 7,115.75 : x
  2. Step 2: Convert to fraction form
    21,155.68/31,735.10 = 7,115.75/x
  3. Step 3: Cross multiply
    21,155.68x = 31,735.10 × 7,115.75
  4. Step 4: Simplify right side
    21,155.68x = 225,818,879.15
  5. Step 5: Solve for x
    x = 225,818,879.15/21,155.68
  6. Step 6: Final answer
    x = 10,674.15

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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.