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Finding the Fourth Proportional to 12,816.63, 19,221.17 and 5,420.93

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Solution

The fourth proportional to 12,816.63, 19,221.17 and 5,420.93 is: 8,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.63 : 19,221.17 = 5,420.93 : x
  2. Step 2: Convert to fraction form
    12,816.63/19,221.17 = 5,420.93/x
  3. Step 3: Cross multiply
    12,816.63x = 19,221.17 × 5,420.93
  4. Step 4: Simplify right side
    12,816.63x = 104,196,493.88
  5. Step 5: Solve for x
    x = 104,196,493.88/12,816.63
  6. Step 6: Final answer
    x = 8,129.79

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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.