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Finding the Fourth Proportional to 15,857.10, 23,753.34 and 7,511.82

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Solution

The fourth proportional to 15,857.10, 23,753.34 and 7,511.82 is: 11,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.10 : 23,753.34 = 7,511.82 : x
  2. Step 2: Convert to fraction form
    15,857.10/23,753.34 = 7,511.82/x
  3. Step 3: Cross multiply
    15,857.10x = 23,753.34 × 7,511.82
  4. Step 4: Simplify right side
    15,857.10x = 178,430,814.48
  5. Step 5: Solve for x
    x = 178,430,814.48/15,857.10
  6. Step 6: Final answer
    x = 11,252.42

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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.