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Finding the Fourth Proportional to 22,569.89, 33,857.99 and 9,419.25

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Solution

The fourth proportional to 22,569.89, 33,857.99 and 9,419.25 is: 14,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569.89 : 33,857.99 = 9,419.25 : x
  2. Step 2: Convert to fraction form
    22,569.89/33,857.99 = 9,419.25/x
  3. Step 3: Cross multiply
    22,569.89x = 33,857.99 × 9,419.25
  4. Step 4: Simplify right side
    22,569.89x = 318,916,872.31
  5. Step 5: Solve for x
    x = 318,916,872.31/22,569.89
  6. Step 6: Final answer
    x = 14,130.19

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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.