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Finding the Fourth Proportional to 22,954.13, 34,430.76 and 6,314.09

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Solution

The fourth proportional to 22,954.13, 34,430.76 and 6,314.09 is: 9,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.13 : 34,430.76 = 6,314.09 : x
  2. Step 2: Convert to fraction form
    22,954.13/34,430.76 = 6,314.09/x
  3. Step 3: Cross multiply
    22,954.13x = 34,430.76 × 6,314.09
  4. Step 4: Simplify right side
    22,954.13x = 217,398,745.25
  5. Step 5: Solve for x
    x = 217,398,745.25/22,954.13
  6. Step 6: Final answer
    x = 9,471.01

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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.