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Finding the Fourth Proportional to 12,816.60, 19,224.90 and 5,419.88

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Solution

The fourth proportional to 12,816.60, 19,224.90 and 5,419.88 is: 8,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.60 : 19,224.90 = 5,419.88 : x
  2. Step 2: Convert to fraction form
    12,816.60/19,224.90 = 5,419.88/x
  3. Step 3: Cross multiply
    12,816.60x = 19,224.90 × 5,419.88
  4. Step 4: Simplify right side
    12,816.60x = 104,196,651.01
  5. Step 5: Solve for x
    x = 104,196,651.01/12,816.60
  6. Step 6: Final answer
    x = 8,129.82

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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.