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Finding the Fourth Proportional to 19,767.76, 29,651.65 and 8,080.97

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Solution

The fourth proportional to 19,767.76, 29,651.65 and 8,080.97 is: 12,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.76 : 29,651.65 = 8,080.97 : x
  2. Step 2: Convert to fraction form
    19,767.76/29,651.65 = 8,080.97/x
  3. Step 3: Cross multiply
    19,767.76x = 29,651.65 × 8,080.97
  4. Step 4: Simplify right side
    19,767.76x = 239,613,925.64
  5. Step 5: Solve for x
    x = 239,613,925.64/19,767.76
  6. Step 6: Final answer
    x = 12,121.45

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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.