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Finding the Fourth Proportional to 21,091.57, 31,652.90 and 9,998.21

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Solution

The fourth proportional to 21,091.57, 31,652.90 and 9,998.21 is: 15,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091.57 : 31,652.90 = 9,998.21 : x
  2. Step 2: Convert to fraction form
    21,091.57/31,652.90 = 9,998.21/x
  3. Step 3: Cross multiply
    21,091.57x = 31,652.90 × 9,998.21
  4. Step 4: Simplify right side
    21,091.57x = 316,472,438.40
  5. Step 5: Solve for x
    x = 316,472,438.40/21,091.57
  6. Step 6: Final answer
    x = 15,004.69

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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.