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Finding the Fourth Proportional to 23,259.69, 32,099.09 and 13,188.55

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Solution

The fourth proportional to 23,259.69, 32,099.09 and 13,188.55 is: 18,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,259.69 : 32,099.09 = 13,188.55 : x
  2. Step 2: Convert to fraction form
    23,259.69/32,099.09 = 13,188.55/x
  3. Step 3: Cross multiply
    23,259.69x = 32,099.09 × 13,188.55
  4. Step 4: Simplify right side
    23,259.69x = 423,340,453.42
  5. Step 5: Solve for x
    x = 423,340,453.42/23,259.69
  6. Step 6: Final answer
    x = 18,200.61

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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.