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Finding the Fourth Proportional to 13,212.96, 19,818.72 and 5,419.68

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Solution

The fourth proportional to 13,212.96, 19,818.72 and 5,419.68 is: 8,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.96 : 19,818.72 = 5,419.68 : x
  2. Step 2: Convert to fraction form
    13,212.96/19,818.72 = 5,419.68/x
  3. Step 3: Cross multiply
    13,212.96x = 19,818.72 × 5,419.68
  4. Step 4: Simplify right side
    13,212.96x = 107,411,120.41
  5. Step 5: Solve for x
    x = 107,411,120.41/13,212.96
  6. Step 6: Final answer
    x = 8,129.22

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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.