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Finding the Fourth Proportional to 19,229.15, 28,842.35 and 5,189.97

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Solution

The fourth proportional to 19,229.15, 28,842.35 and 5,189.97 is: 7,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229.15 : 28,842.35 = 5,189.97 : x
  2. Step 2: Convert to fraction form
    19,229.15/28,842.35 = 5,189.97/x
  3. Step 3: Cross multiply
    19,229.15x = 28,842.35 × 5,189.97
  4. Step 4: Simplify right side
    19,229.15x = 149,691,009.82
  5. Step 5: Solve for x
    x = 149,691,009.82/19,229.15
  6. Step 6: Final answer
    x = 7,784.59

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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.