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Finding the Fourth Proportional to 13,422.86, 20,129.72 and 5,100.87

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Solution

The fourth proportional to 13,422.86, 20,129.72 and 5,100.87 is: 7,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.86 : 20,129.72 = 5,100.87 : x
  2. Step 2: Convert to fraction form
    13,422.86/20,129.72 = 5,100.87/x
  3. Step 3: Cross multiply
    13,422.86x = 20,129.72 × 5,100.87
  4. Step 4: Simplify right side
    13,422.86x = 102,679,059.35
  5. Step 5: Solve for x
    x = 102,679,059.35/13,422.86
  6. Step 6: Final answer
    x = 7,649.57

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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.