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Finding the Fourth Proportional to 14,285.66, 19,714.26 and 7,912.43

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Solution

The fourth proportional to 14,285.66, 19,714.26 and 7,912.43 is: 10,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.66 : 19,714.26 = 7,912.43 : x
  2. Step 2: Convert to fraction form
    14,285.66/19,714.26 = 7,912.43/x
  3. Step 3: Cross multiply
    14,285.66x = 19,714.26 × 7,912.43
  4. Step 4: Simplify right side
    14,285.66x = 155,987,702.25
  5. Step 5: Solve for x
    x = 155,987,702.25/14,285.66
  6. Step 6: Final answer
    x = 10,919.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.