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Finding the Fourth Proportional to 23,709.76, 32,717.88 and 13,099.28

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Solution

The fourth proportional to 23,709.76, 32,717.88 and 13,099.28 is: 18,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.76 : 32,717.88 = 13,099.28 : x
  2. Step 2: Convert to fraction form
    23,709.76/32,717.88 = 13,099.28/x
  3. Step 3: Cross multiply
    23,709.76x = 32,717.88 × 13,099.28
  4. Step 4: Simplify right side
    23,709.76x = 428,580,671.13
  5. Step 5: Solve for x
    x = 428,580,671.13/23,709.76
  6. Step 6: Final answer
    x = 18,076.13

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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.