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Finding the Fourth Proportional to 15,835.64, 23,753.43 and 7,511.12

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Solution

The fourth proportional to 15,835.64, 23,753.43 and 7,511.12 is: 11,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835.64 : 23,753.43 = 7,511.12 : x
  2. Step 2: Convert to fraction form
    15,835.64/23,753.43 = 7,511.12/x
  3. Step 3: Cross multiply
    15,835.64x = 23,753.43 × 7,511.12
  4. Step 4: Simplify right side
    15,835.64x = 178,414,744.37
  5. Step 5: Solve for x
    x = 178,414,744.37/15,835.64
  6. Step 6: Final answer
    x = 11,266.66

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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.