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Finding the Fourth Proportional to 12,702.88, 19,066.01 and 6,467.34

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Solution

The fourth proportional to 12,702.88, 19,066.01 and 6,467.34 is: 9,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.88 : 19,066.01 = 6,467.34 : x
  2. Step 2: Convert to fraction form
    12,702.88/19,066.01 = 6,467.34/x
  3. Step 3: Cross multiply
    12,702.88x = 19,066.01 × 6,467.34
  4. Step 4: Simplify right side
    12,702.88x = 123,306,426.46
  5. Step 5: Solve for x
    x = 123,306,426.46/12,702.88
  6. Step 6: Final answer
    x = 9,706.97

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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.