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Finding the Fourth Proportional to 23,615.76, 32,591.82 and 13,007.46

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Solution

The fourth proportional to 23,615.76, 32,591.82 and 13,007.46 is: 17,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.76 : 32,591.82 = 13,007.46 : x
  2. Step 2: Convert to fraction form
    23,615.76/32,591.82 = 13,007.46/x
  3. Step 3: Cross multiply
    23,615.76x = 32,591.82 × 13,007.46
  4. Step 4: Simplify right side
    23,615.76x = 423,936,794.98
  5. Step 5: Solve for x
    x = 423,936,794.98/23,615.76
  6. Step 6: Final answer
    x = 17,951.44

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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.