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Finding the Fourth Proportional to 19,677.64, 29,507.75 and 5,634.47

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Solution

The fourth proportional to 19,677.64, 29,507.75 and 5,634.47 is: 8,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677.64 : 29,507.75 = 5,634.47 : x
  2. Step 2: Convert to fraction form
    19,677.64/29,507.75 = 5,634.47/x
  3. Step 3: Cross multiply
    19,677.64x = 29,507.75 × 5,634.47
  4. Step 4: Simplify right side
    19,677.64x = 166,260,519.91
  5. Step 5: Solve for x
    x = 166,260,519.91/19,677.64
  6. Step 6: Final answer
    x = 8,449.21

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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.