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Finding the Fourth Proportional to 19,685.40, 29,519.22 and 5,642.22

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Solution

The fourth proportional to 19,685.40, 29,519.22 and 5,642.22 is: 8,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.40 : 29,519.22 = 5,642.22 : x
  2. Step 2: Convert to fraction form
    19,685.40/29,519.22 = 5,642.22/x
  3. Step 3: Cross multiply
    19,685.40x = 29,519.22 × 5,642.22
  4. Step 4: Simplify right side
    19,685.40x = 166,553,933.47
  5. Step 5: Solve for x
    x = 166,553,933.47/19,685.40
  6. Step 6: Final answer
    x = 8,460.78

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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.