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Finding the Fourth Proportional to 19,733.20, 29,603.94 and 5,693.20

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Solution

The fourth proportional to 19,733.20, 29,603.94 and 5,693.20 is: 8,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733.20 : 29,603.94 = 5,693.20 : x
  2. Step 2: Convert to fraction form
    19,733.20/29,603.94 = 5,693.20/x
  3. Step 3: Cross multiply
    19,733.20x = 29,603.94 × 5,693.20
  4. Step 4: Simplify right side
    19,733.20x = 168,541,151.21
  5. Step 5: Solve for x
    x = 168,541,151.21/19,733.20
  6. Step 6: Final answer
    x = 8,540.99

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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.