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Finding the Fourth Proportional to 12,809.37, 19,214.87 and 4,044.63

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Solution

The fourth proportional to 12,809.37, 19,214.87 and 4,044.63 is: 6,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.37 : 19,214.87 = 4,044.63 : x
  2. Step 2: Convert to fraction form
    12,809.37/19,214.87 = 4,044.63/x
  3. Step 3: Cross multiply
    12,809.37x = 19,214.87 × 4,044.63
  4. Step 4: Simplify right side
    12,809.37x = 77,717,019.42
  5. Step 5: Solve for x
    x = 77,717,019.42/12,809.37
  6. Step 6: Final answer
    x = 6,067.20

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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.