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Finding the Fourth Proportional to 12,884.96, 19,319.34 and 5,484.80

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Solution

The fourth proportional to 12,884.96, 19,319.34 and 5,484.80 is: 8,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.96 : 19,319.34 = 5,484.80 : x
  2. Step 2: Convert to fraction form
    12,884.96/19,319.34 = 5,484.80/x
  3. Step 3: Cross multiply
    12,884.96x = 19,319.34 × 5,484.80
  4. Step 4: Simplify right side
    12,884.96x = 105,962,716.03
  5. Step 5: Solve for x
    x = 105,962,716.03/12,884.96
  6. Step 6: Final answer
    x = 8,223.75

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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.