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Finding the Fourth Proportional to 13,486.79, 20,216.36 and 5,164.65

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Solution

The fourth proportional to 13,486.79, 20,216.36 and 5,164.65 is: 7,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.79 : 20,216.36 = 5,164.65 : x
  2. Step 2: Convert to fraction form
    13,486.79/20,216.36 = 5,164.65/x
  3. Step 3: Cross multiply
    13,486.79x = 20,216.36 × 5,164.65
  4. Step 4: Simplify right side
    13,486.79x = 104,410,397.85
  5. Step 5: Solve for x
    x = 104,410,397.85/13,486.79
  6. Step 6: Final answer
    x = 7,741.68

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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.