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Finding the Fourth Proportional to 13,494.33, 20,242.10 and 4,133.66

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Solution

The fourth proportional to 13,494.33, 20,242.10 and 4,133.66 is: 6,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.33 : 20,242.10 = 4,133.66 : x
  2. Step 2: Convert to fraction form
    13,494.33/20,242.10 = 4,133.66/x
  3. Step 3: Cross multiply
    13,494.33x = 20,242.10 × 4,133.66
  4. Step 4: Simplify right side
    13,494.33x = 83,673,959.09
  5. Step 5: Solve for x
    x = 83,673,959.09/13,494.33
  6. Step 6: Final answer
    x = 6,200.68

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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.