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Finding the Fourth Proportional to 19,884.66, 29,819.68 and 5,841.08

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Solution

The fourth proportional to 19,884.66, 29,819.68 and 5,841.08 is: 8,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.66 : 29,819.68 = 5,841.08 : x
  2. Step 2: Convert to fraction form
    19,884.66/29,819.68 = 5,841.08/x
  3. Step 3: Cross multiply
    19,884.66x = 29,819.68 × 5,841.08
  4. Step 4: Simplify right side
    19,884.66x = 174,179,136.45
  5. Step 5: Solve for x
    x = 174,179,136.45/19,884.66
  6. Step 6: Final answer
    x = 8,759.47

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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.