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Finding the Fourth Proportional to 19,880.72, 29,821.16 and 6,733.20

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Solution

The fourth proportional to 19,880.72, 29,821.16 and 6,733.20 is: 10,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.72 : 29,821.16 = 6,733.20 : x
  2. Step 2: Convert to fraction form
    19,880.72/29,821.16 = 6,733.20/x
  3. Step 3: Cross multiply
    19,880.72x = 29,821.16 × 6,733.20
  4. Step 4: Simplify right side
    19,880.72x = 200,791,834.51
  5. Step 5: Solve for x
    x = 200,791,834.51/19,880.72
  6. Step 6: Final answer
    x = 10,099.83

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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.