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Finding the Fourth Proportional to 19,693.91, 29,524.52 and 7,840.37

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Solution

The fourth proportional to 19,693.91, 29,524.52 and 7,840.37 is: 11,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.91 : 29,524.52 = 7,840.37 : x
  2. Step 2: Convert to fraction form
    19,693.91/29,524.52 = 7,840.37/x
  3. Step 3: Cross multiply
    19,693.91x = 29,524.52 × 7,840.37
  4. Step 4: Simplify right side
    19,693.91x = 231,483,160.87
  5. Step 5: Solve for x
    x = 231,483,160.87/19,693.91
  6. Step 6: Final answer
    x = 11,754.05

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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.