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Finding the Fourth Proportional to 12,843.02, 19,267.49 and 5,447.77

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Solution

The fourth proportional to 12,843.02, 19,267.49 and 5,447.77 is: 8,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.02 : 19,267.49 = 5,447.77 : x
  2. Step 2: Convert to fraction form
    12,843.02/19,267.49 = 5,447.77/x
  3. Step 3: Cross multiply
    12,843.02x = 19,267.49 × 5,447.77
  4. Step 4: Simplify right side
    12,843.02x = 104,964,854.00
  5. Step 5: Solve for x
    x = 104,964,854.00/12,843.02
  6. Step 6: Final answer
    x = 8,172.91

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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.