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Finding the Fourth Proportional to 13,641.66, 20,342.01 and 11,982.57

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Solution

The fourth proportional to 13,641.66, 20,342.01 and 11,982.57 is: 17,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.66 : 20,342.01 = 11,982.57 : x
  2. Step 2: Convert to fraction form
    13,641.66/20,342.01 = 11,982.57/x
  3. Step 3: Cross multiply
    13,641.66x = 20,342.01 × 11,982.57
  4. Step 4: Simplify right side
    13,641.66x = 243,749,498.85
  5. Step 5: Solve for x
    x = 243,749,498.85/13,641.66
  6. Step 6: Final answer
    x = 17,868.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.