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Finding the Fourth Proportional to 13,486.70, 20,224.92 and 4,123.86

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Solution

The fourth proportional to 13,486.70, 20,224.92 and 4,123.86 is: 6,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.70 : 20,224.92 = 4,123.86 : x
  2. Step 2: Convert to fraction form
    13,486.70/20,224.92 = 4,123.86/x
  3. Step 3: Cross multiply
    13,486.70x = 20,224.92 × 4,123.86
  4. Step 4: Simplify right side
    13,486.70x = 83,404,738.59
  5. Step 5: Solve for x
    x = 83,404,738.59/13,486.70
  6. Step 6: Final answer
    x = 6,184.22

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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.