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Finding the Fourth Proportional to 19,735.38, 29,605.02 and 5,695.74

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Solution

The fourth proportional to 19,735.38, 29,605.02 and 5,695.74 is: 8,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.38 : 29,605.02 = 5,695.74 : x
  2. Step 2: Convert to fraction form
    19,735.38/29,605.02 = 5,695.74/x
  3. Step 3: Cross multiply
    19,735.38x = 29,605.02 × 5,695.74
  4. Step 4: Simplify right side
    19,735.38x = 168,622,496.61
  5. Step 5: Solve for x
    x = 168,622,496.61/19,735.38
  6. Step 6: Final answer
    x = 8,544.17

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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.