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Finding the Fourth Proportional to 21,706.50, 32,563.98 and 9,226.38

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Solution

The fourth proportional to 21,706.50, 32,563.98 and 9,226.38 is: 13,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.50 : 32,563.98 = 9,226.38 : x
  2. Step 2: Convert to fraction form
    21,706.50/32,563.98 = 9,226.38/x
  3. Step 3: Cross multiply
    21,706.50x = 32,563.98 × 9,226.38
  4. Step 4: Simplify right side
    21,706.50x = 300,447,653.79
  5. Step 5: Solve for x
    x = 300,447,653.79/21,706.50
  6. Step 6: Final answer
    x = 13,841.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.