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Finding the Fourth Proportional to 16,195.83, 24,308.93 and 8,304.22

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Solution

The fourth proportional to 16,195.83, 24,308.93 and 8,304.22 is: 12,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.83 : 24,308.93 = 8,304.22 : x
  2. Step 2: Convert to fraction form
    16,195.83/24,308.93 = 8,304.22/x
  3. Step 3: Cross multiply
    16,195.83x = 24,308.93 × 8,304.22
  4. Step 4: Simplify right side
    16,195.83x = 201,866,702.68
  5. Step 5: Solve for x
    x = 201,866,702.68/16,195.83
  6. Step 6: Final answer
    x = 12,464.12

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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.