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Finding the Fourth Proportional to 13,278.60, 19,917.90 and 5,881.14

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Solution

The fourth proportional to 13,278.60, 19,917.90 and 5,881.14 is: 8,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.60 : 19,917.90 = 5,881.14 : x
  2. Step 2: Convert to fraction form
    13,278.60/19,917.90 = 5,881.14/x
  3. Step 3: Cross multiply
    13,278.60x = 19,917.90 × 5,881.14
  4. Step 4: Simplify right side
    13,278.60x = 117,139,958.41
  5. Step 5: Solve for x
    x = 117,139,958.41/13,278.60
  6. Step 6: Final answer
    x = 8,821.71

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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.