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Finding the Fourth Proportional to 15,832.54, 23,740.71 and 8,441.02

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Solution

The fourth proportional to 15,832.54, 23,740.71 and 8,441.02 is: 12,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.54 : 23,740.71 = 8,441.02 : x
  2. Step 2: Convert to fraction form
    15,832.54/23,740.71 = 8,441.02/x
  3. Step 3: Cross multiply
    15,832.54x = 23,740.71 × 8,441.02
  4. Step 4: Simplify right side
    15,832.54x = 200,395,807.92
  5. Step 5: Solve for x
    x = 200,395,807.92/15,832.54
  6. Step 6: Final answer
    x = 12,657.21

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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.