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Finding the Fourth Proportional to 19,768.23, 29,653.89 and 5,728.50

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Solution

The fourth proportional to 19,768.23, 29,653.89 and 5,728.50 is: 8,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.23 : 29,653.89 = 5,728.50 : x
  2. Step 2: Convert to fraction form
    19,768.23/29,653.89 = 5,728.50/x
  3. Step 3: Cross multiply
    19,768.23x = 29,653.89 × 5,728.50
  4. Step 4: Simplify right side
    19,768.23x = 169,872,308.87
  5. Step 5: Solve for x
    x = 169,872,308.87/19,768.23
  6. Step 6: Final answer
    x = 8,593.20

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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.