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Finding the Fourth Proportional to 13,504.66, 20,256.90 and 4,144.66

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Solution

The fourth proportional to 13,504.66, 20,256.90 and 4,144.66 is: 6,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.66 : 20,256.90 = 4,144.66 : x
  2. Step 2: Convert to fraction form
    13,504.66/20,256.90 = 4,144.66/x
  3. Step 3: Cross multiply
    13,504.66x = 20,256.90 × 4,144.66
  4. Step 4: Simplify right side
    13,504.66x = 83,957,963.15
  5. Step 5: Solve for x
    x = 83,957,963.15/13,504.66
  6. Step 6: Final answer
    x = 6,216.96

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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.