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Finding the Fourth Proportional to 20,998.45, 28,977.31 and 11,438.16

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Solution

The fourth proportional to 20,998.45, 28,977.31 and 11,438.16 is: 15,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.45 : 28,977.31 = 11,438.16 : x
  2. Step 2: Convert to fraction form
    20,998.45/28,977.31 = 11,438.16/x
  3. Step 3: Cross multiply
    20,998.45x = 28,977.31 × 11,438.16
  4. Step 4: Simplify right side
    20,998.45x = 331,447,108.15
  5. Step 5: Solve for x
    x = 331,447,108.15/20,998.45
  6. Step 6: Final answer
    x = 15,784.36

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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.