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Finding the Fourth Proportional to 43,864, 65,796 and 14,680

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Solution

The fourth proportional to 43,864, 65,796 and 14,680 is: 22,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,864 : 65,796 = 14,680 : x
  2. Step 2: Convert to fraction form
    43,864/65,796 = 14,680/x
  3. Step 3: Cross multiply
    43,864x = 65,796 × 14,680
  4. Step 4: Simplify right side
    43,864x = 965,885,280
  5. Step 5: Solve for x
    x = 965,885,280/43,864
  6. Step 6: Final answer
    x = 22,020

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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.