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Finding the Fourth Proportional to 21,834.72, 32,706.08 and 9,998.48

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Solution

The fourth proportional to 21,834.72, 32,706.08 and 9,998.48 is: 14,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.72 : 32,706.08 = 9,998.48 : x
  2. Step 2: Convert to fraction form
    21,834.72/32,706.08 = 9,998.48/x
  3. Step 3: Cross multiply
    21,834.72x = 32,706.08 × 9,998.48
  4. Step 4: Simplify right side
    21,834.72x = 327,011,086.76
  5. Step 5: Solve for x
    x = 327,011,086.76/21,834.72
  6. Step 6: Final answer
    x = 14,976.66

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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.