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Finding the Fourth Proportional to 19,693.13, 29,544.55 and 5,842.13

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Solution

The fourth proportional to 19,693.13, 29,544.55 and 5,842.13 is: 8,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.13 : 29,544.55 = 5,842.13 : x
  2. Step 2: Convert to fraction form
    19,693.13/29,544.55 = 5,842.13/x
  3. Step 3: Cross multiply
    19,693.13x = 29,544.55 × 5,842.13
  4. Step 4: Simplify right side
    19,693.13x = 172,602,939.56
  5. Step 5: Solve for x
    x = 172,602,939.56/19,693.13
  6. Step 6: Final answer
    x = 8,764.63

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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.