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Finding the Fourth Proportional to 16,077.64, 24,097.02 and 8,282.20

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Solution

The fourth proportional to 16,077.64, 24,097.02 and 8,282.20 is: 12,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.64 : 24,097.02 = 8,282.20 : x
  2. Step 2: Convert to fraction form
    16,077.64/24,097.02 = 8,282.20/x
  3. Step 3: Cross multiply
    16,077.64x = 24,097.02 × 8,282.20
  4. Step 4: Simplify right side
    16,077.64x = 199,576,339.04
  5. Step 5: Solve for x
    x = 199,576,339.04/16,077.64
  6. Step 6: Final answer
    x = 12,413.29

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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.