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Finding the Fourth Proportional to 13,693.98, 20,541.99 and 3,833.13

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Solution

The fourth proportional to 13,693.98, 20,541.99 and 3,833.13 is: 5,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.98 : 20,541.99 = 3,833.13 : x
  2. Step 2: Convert to fraction form
    13,693.98/20,541.99 = 3,833.13/x
  3. Step 3: Cross multiply
    13,693.98x = 20,541.99 × 3,833.13
  4. Step 4: Simplify right side
    13,693.98x = 78,740,118.13
  5. Step 5: Solve for x
    x = 78,740,118.13/13,693.98
  6. Step 6: Final answer
    x = 5,749.98

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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.