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Finding the Fourth Proportional to 14,285.97, 19,714.86 and 7,912.35

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Solution

The fourth proportional to 14,285.97, 19,714.86 and 7,912.35 is: 10,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.97 : 19,714.86 = 7,912.35 : x
  2. Step 2: Convert to fraction form
    14,285.97/19,714.86 = 7,912.35/x
  3. Step 3: Cross multiply
    14,285.97x = 19,714.86 × 7,912.35
  4. Step 4: Simplify right side
    14,285.97x = 155,990,872.52
  5. Step 5: Solve for x
    x = 155,990,872.52/14,285.97
  6. Step 6: Final answer
    x = 10,919.17

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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.