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Finding the Fourth Proportional to 15,899.76, 23,850 and 5,511.60

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Solution

The fourth proportional to 15,899.76, 23,850 and 5,511.60 is: 8,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.76 : 23,850 = 5,511.60 : x
  2. Step 2: Convert to fraction form
    15,899.76/23,850 = 5,511.60/x
  3. Step 3: Cross multiply
    15,899.76x = 23,850 × 5,511.60
  4. Step 4: Simplify right side
    15,899.76x = 131,451,660.00
  5. Step 5: Solve for x
    x = 131,451,660.00/15,899.76
  6. Step 6: Final answer
    x = 8,267.52

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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.