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Finding the Fourth Proportional to 15,682.98, 23,512.08 and 10,737.60

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Solution

The fourth proportional to 15,682.98, 23,512.08 and 10,737.60 is: 16,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.98 : 23,512.08 = 10,737.60 : x
  2. Step 2: Convert to fraction form
    15,682.98/23,512.08 = 10,737.60/x
  3. Step 3: Cross multiply
    15,682.98x = 23,512.08 × 10,737.60
  4. Step 4: Simplify right side
    15,682.98x = 252,463,310.21
  5. Step 5: Solve for x
    x = 252,463,310.21/15,682.98
  6. Step 6: Final answer
    x = 16,097.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.