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Finding the Fourth Proportional to 13,486.92, 20,216.52 and 5,164.68

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Solution

The fourth proportional to 13,486.92, 20,216.52 and 5,164.68 is: 7,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.92 : 20,216.52 = 5,164.68 : x
  2. Step 2: Convert to fraction form
    13,486.92/20,216.52 = 5,164.68/x
  3. Step 3: Cross multiply
    13,486.92x = 20,216.52 × 5,164.68
  4. Step 4: Simplify right side
    13,486.92x = 104,411,856.51
  5. Step 5: Solve for x
    x = 104,411,856.51/13,486.92
  6. Step 6: Final answer
    x = 7,741.71

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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.