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Finding the Fourth Proportional to 21,706, 32,563.23 and 9,225.88

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Solution

The fourth proportional to 21,706, 32,563.23 and 9,225.88 is: 13,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706 : 32,563.23 = 9,225.88 : x
  2. Step 2: Convert to fraction form
    21,706/32,563.23 = 9,225.88/x
  3. Step 3: Cross multiply
    21,706x = 32,563.23 × 9,225.88
  4. Step 4: Simplify right side
    21,706x = 300,424,452.39
  5. Step 5: Solve for x
    x = 300,424,452.39/21,706
  6. Step 6: Final answer
    x = 13,840.62

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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.