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Finding the Fourth Proportional to 16,091.40, 24,144 and 6,733.62

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Solution

The fourth proportional to 16,091.40, 24,144 and 6,733.62 is: 10,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.40 : 24,144 = 6,733.62 : x
  2. Step 2: Convert to fraction form
    16,091.40/24,144 = 6,733.62/x
  3. Step 3: Cross multiply
    16,091.40x = 24,144 × 6,733.62
  4. Step 4: Simplify right side
    16,091.40x = 162,576,521.28
  5. Step 5: Solve for x
    x = 162,576,521.28/16,091.40
  6. Step 6: Final answer
    x = 10,103.32

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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.