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Finding the Fourth Proportional to 23,709.48, 32,718.98 and 13,099.12

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Solution

The fourth proportional to 23,709.48, 32,718.98 and 13,099.12 is: 18,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.48 : 32,718.98 = 13,099.12 : x
  2. Step 2: Convert to fraction form
    23,709.48/32,718.98 = 13,099.12/x
  3. Step 3: Cross multiply
    23,709.48x = 32,718.98 × 13,099.12
  4. Step 4: Simplify right side
    23,709.48x = 428,589,845.30
  5. Step 5: Solve for x
    x = 428,589,845.30/23,709.48
  6. Step 6: Final answer
    x = 18,076.73

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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.