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Finding the Fourth Proportional to 12,807.34, 19,214.09 and 4,042.22

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Solution

The fourth proportional to 12,807.34, 19,214.09 and 4,042.22 is: 6,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.34 : 19,214.09 = 4,042.22 : x
  2. Step 2: Convert to fraction form
    12,807.34/19,214.09 = 4,042.22/x
  3. Step 3: Cross multiply
    12,807.34x = 19,214.09 × 4,042.22
  4. Step 4: Simplify right side
    12,807.34x = 77,667,626.92
  5. Step 5: Solve for x
    x = 77,667,626.92/12,807.34
  6. Step 6: Final answer
    x = 6,064.31

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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.