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Finding the Fourth Proportional to 20,900.97, 31,354.40 and 6,111

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Solution

The fourth proportional to 20,900.97, 31,354.40 and 6,111 is: 9,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.97 : 31,354.40 = 6,111 : x
  2. Step 2: Convert to fraction form
    20,900.97/31,354.40 = 6,111/x
  3. Step 3: Cross multiply
    20,900.97x = 31,354.40 × 6,111
  4. Step 4: Simplify right side
    20,900.97x = 191,606,707.85
  5. Step 5: Solve for x
    x = 191,606,707.85/20,900.97
  6. Step 6: Final answer
    x = 9,167.36

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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.