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Finding the Fourth Proportional to 21,906.90, 32,864.91 and 7,116.12

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Solution

The fourth proportional to 21,906.90, 32,864.91 and 7,116.12 is: 10,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.90 : 32,864.91 = 7,116.12 : x
  2. Step 2: Convert to fraction form
    21,906.90/32,864.91 = 7,116.12/x
  3. Step 3: Cross multiply
    21,906.90x = 32,864.91 × 7,116.12
  4. Step 4: Simplify right side
    21,906.90x = 233,870,643.35
  5. Step 5: Solve for x
    x = 233,870,643.35/21,906.90
  6. Step 6: Final answer
    x = 10,675.66

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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.