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Finding the Fourth Proportional to 15,577.84, 23,371.22 and 7,682.73

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Solution

The fourth proportional to 15,577.84, 23,371.22 and 7,682.73 is: 11,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.84 : 23,371.22 = 7,682.73 : x
  2. Step 2: Convert to fraction form
    15,577.84/23,371.22 = 7,682.73/x
  3. Step 3: Cross multiply
    15,577.84x = 23,371.22 × 7,682.73
  4. Step 4: Simplify right side
    15,577.84x = 179,554,773.03
  5. Step 5: Solve for x
    x = 179,554,773.03/15,577.84
  6. Step 6: Final answer
    x = 11,526.29

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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.