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Finding the Fourth Proportional to 15,578.82, 21,499.14 and 8,505.30

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Solution

The fourth proportional to 15,578.82, 21,499.14 and 8,505.30 is: 11,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.82 : 21,499.14 = 8,505.30 : x
  2. Step 2: Convert to fraction form
    15,578.82/21,499.14 = 8,505.30/x
  3. Step 3: Cross multiply
    15,578.82x = 21,499.14 × 8,505.30
  4. Step 4: Simplify right side
    15,578.82x = 182,856,635.44
  5. Step 5: Solve for x
    x = 182,856,635.44/15,578.82
  6. Step 6: Final answer
    x = 11,737.52

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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.