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Finding the Fourth Proportional to 23,710.68, 32,717.96 and 13,099.68

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Solution

The fourth proportional to 23,710.68, 32,717.96 and 13,099.68 is: 18,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.68 : 32,717.96 = 13,099.68 : x
  2. Step 2: Convert to fraction form
    23,710.68/32,717.96 = 13,099.68/x
  3. Step 3: Cross multiply
    23,710.68x = 32,717.96 × 13,099.68
  4. Step 4: Simplify right side
    23,710.68x = 428,594,806.25
  5. Step 5: Solve for x
    x = 428,594,806.25/23,710.68
  6. Step 6: Final answer
    x = 18,076.02

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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.