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Finding the Fourth Proportional to 22,549.73, 31,082.69 and 17,762.09

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Solution

The fourth proportional to 22,549.73, 31,082.69 and 17,762.09 is: 24,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.73 : 31,082.69 = 17,762.09 : x
  2. Step 2: Convert to fraction form
    22,549.73/31,082.69 = 17,762.09/x
  3. Step 3: Cross multiply
    22,549.73x = 31,082.69 × 17,762.09
  4. Step 4: Simplify right side
    22,549.73x = 552,093,448.41
  5. Step 5: Solve for x
    x = 552,093,448.41/22,549.73
  6. Step 6: Final answer
    x = 24,483.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.