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Finding the Fourth Proportional to 21,661.26, 32,461.08 and 9,638.70

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Solution

The fourth proportional to 21,661.26, 32,461.08 and 9,638.70 is: 14,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.26 : 32,461.08 = 9,638.70 : x
  2. Step 2: Convert to fraction form
    21,661.26/32,461.08 = 9,638.70/x
  3. Step 3: Cross multiply
    21,661.26x = 32,461.08 × 9,638.70
  4. Step 4: Simplify right side
    21,661.26x = 312,882,611.80
  5. Step 5: Solve for x
    x = 312,882,611.80/21,661.26
  6. Step 6: Final answer
    x = 14,444.34

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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.