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Finding the Fourth Proportional to 19,685.81, 29,519.82 and 5,642.62

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Solution

The fourth proportional to 19,685.81, 29,519.82 and 5,642.62 is: 8,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.81 : 29,519.82 = 5,642.62 : x
  2. Step 2: Convert to fraction form
    19,685.81/29,519.82 = 5,642.62/x
  3. Step 3: Cross multiply
    19,685.81x = 29,519.82 × 5,642.62
  4. Step 4: Simplify right side
    19,685.81x = 166,569,126.73
  5. Step 5: Solve for x
    x = 166,569,126.73/19,685.81
  6. Step 6: Final answer
    x = 8,461.38

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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.