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Finding the Fourth Proportional to 13,921, 20,881.09 and 5,155.72

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Solution

The fourth proportional to 13,921, 20,881.09 and 5,155.72 is: 7,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921 : 20,881.09 = 5,155.72 : x
  2. Step 2: Convert to fraction form
    13,921/20,881.09 = 5,155.72/x
  3. Step 3: Cross multiply
    13,921x = 20,881.09 × 5,155.72
  4. Step 4: Simplify right side
    13,921x = 107,657,053.33
  5. Step 5: Solve for x
    x = 107,657,053.33/13,921
  6. Step 6: Final answer
    x = 7,733.43

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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.