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Finding the Fourth Proportional to 19,741.67, 29,617.37 and 13,909.67

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Solution

The fourth proportional to 19,741.67, 29,617.37 and 13,909.67 is: 20,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,741.67 : 29,617.37 = 13,909.67 : x
  2. Step 2: Convert to fraction form
    19,741.67/29,617.37 = 13,909.67/x
  3. Step 3: Cross multiply
    19,741.67x = 29,617.37 × 13,909.67
  4. Step 4: Simplify right side
    19,741.67x = 411,967,625.33
  5. Step 5: Solve for x
    x = 411,967,625.33/19,741.67
  6. Step 6: Final answer
    x = 20,867.93

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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.