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Finding the Fourth Proportional to 22,494.81, 33,757.29 and 9,347.16

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Solution

The fourth proportional to 22,494.81, 33,757.29 and 9,347.16 is: 14,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.81 : 33,757.29 = 9,347.16 : x
  2. Step 2: Convert to fraction form
    22,494.81/33,757.29 = 9,347.16/x
  3. Step 3: Cross multiply
    22,494.81x = 33,757.29 × 9,347.16
  4. Step 4: Simplify right side
    22,494.81x = 315,534,790.80
  5. Step 5: Solve for x
    x = 315,534,790.80/22,494.81
  6. Step 6: Final answer
    x = 14,027.00

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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.