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Finding the Fourth Proportional to 20,892.82, 31,341.43 and 6,101.78

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Solution

The fourth proportional to 20,892.82, 31,341.43 and 6,101.78 is: 9,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.82 : 31,341.43 = 6,101.78 : x
  2. Step 2: Convert to fraction form
    20,892.82/31,341.43 = 6,101.78/x
  3. Step 3: Cross multiply
    20,892.82x = 31,341.43 × 6,101.78
  4. Step 4: Simplify right side
    20,892.82x = 191,238,510.75
  5. Step 5: Solve for x
    x = 191,238,510.75/20,892.82
  6. Step 6: Final answer
    x = 9,153.31

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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.