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Finding the Fourth Proportional to 12,702.87, 19,048.78 and 6,778.43

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Solution

The fourth proportional to 12,702.87, 19,048.78 and 6,778.43 is: 10,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.87 : 19,048.78 = 6,778.43 : x
  2. Step 2: Convert to fraction form
    12,702.87/19,048.78 = 6,778.43/x
  3. Step 3: Cross multiply
    12,702.87x = 19,048.78 × 6,778.43
  4. Step 4: Simplify right side
    12,702.87x = 129,120,821.82
  5. Step 5: Solve for x
    x = 129,120,821.82/12,702.87
  6. Step 6: Final answer
    x = 10,164.70

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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.