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Finding the Fourth Proportional to 16,091.84, 24,129.12 and 5,702.24

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Solution

The fourth proportional to 16,091.84, 24,129.12 and 5,702.24 is: 8,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.84 : 24,129.12 = 5,702.24 : x
  2. Step 2: Convert to fraction form
    16,091.84/24,129.12 = 5,702.24/x
  3. Step 3: Cross multiply
    16,091.84x = 24,129.12 × 5,702.24
  4. Step 4: Simplify right side
    16,091.84x = 137,590,033.23
  5. Step 5: Solve for x
    x = 137,590,033.23/16,091.84
  6. Step 6: Final answer
    x = 8,550.30

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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.