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Finding the Fourth Proportional to 13,099.86, 19,635.75 and 6,511.86

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Solution

The fourth proportional to 13,099.86, 19,635.75 and 6,511.86 is: 9,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.86 : 19,635.75 = 6,511.86 : x
  2. Step 2: Convert to fraction form
    13,099.86/19,635.75 = 6,511.86/x
  3. Step 3: Cross multiply
    13,099.86x = 19,635.75 × 6,511.86
  4. Step 4: Simplify right side
    13,099.86x = 127,865,255.00
  5. Step 5: Solve for x
    x = 127,865,255.00/13,099.86
  6. Step 6: Final answer
    x = 9,760.81

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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.