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Finding the Fourth Proportional to 12,702.42, 19,059.10 and 6,863.13

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Solution

The fourth proportional to 12,702.42, 19,059.10 and 6,863.13 is: 10,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.42 : 19,059.10 = 6,863.13 : x
  2. Step 2: Convert to fraction form
    12,702.42/19,059.10 = 6,863.13/x
  3. Step 3: Cross multiply
    12,702.42x = 19,059.10 × 6,863.13
  4. Step 4: Simplify right side
    12,702.42x = 130,805,063.83
  5. Step 5: Solve for x
    x = 130,805,063.83/12,702.42
  6. Step 6: Final answer
    x = 10,297.65

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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.