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Finding the Fourth Proportional to 19,920.19, 29,880.01 and 6,781.72

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Solution

The fourth proportional to 19,920.19, 29,880.01 and 6,781.72 is: 10,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.19 : 29,880.01 = 6,781.72 : x
  2. Step 2: Convert to fraction form
    19,920.19/29,880.01 = 6,781.72/x
  3. Step 3: Cross multiply
    19,920.19x = 29,880.01 × 6,781.72
  4. Step 4: Simplify right side
    19,920.19x = 202,637,861.42
  5. Step 5: Solve for x
    x = 202,637,861.42/19,920.19
  6. Step 6: Final answer
    x = 10,172.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.