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Finding the Fourth Proportional to 21,308.72, 31,967.70 and 8,161.10

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Solution

The fourth proportional to 21,308.72, 31,967.70 and 8,161.10 is: 12,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.72 : 31,967.70 = 8,161.10 : x
  2. Step 2: Convert to fraction form
    21,308.72/31,967.70 = 8,161.10/x
  3. Step 3: Cross multiply
    21,308.72x = 31,967.70 × 8,161.10
  4. Step 4: Simplify right side
    21,308.72x = 260,891,436.63
  5. Step 5: Solve for x
    x = 260,891,436.63/21,308.72
  6. Step 6: Final answer
    x = 12,243.41

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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.