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Finding the Fourth Proportional to 13,201.76, 19,809.93 and 5,408.75

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Solution

The fourth proportional to 13,201.76, 19,809.93 and 5,408.75 is: 8,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.76 : 19,809.93 = 5,408.75 : x
  2. Step 2: Convert to fraction form
    13,201.76/19,809.93 = 5,408.75/x
  3. Step 3: Cross multiply
    13,201.76x = 19,809.93 × 5,408.75
  4. Step 4: Simplify right side
    13,201.76x = 107,146,958.89
  5. Step 5: Solve for x
    x = 107,146,958.89/13,201.76
  6. Step 6: Final answer
    x = 8,116.11

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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.