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Finding the Fourth Proportional to 21,910.80, 32,846.74 and 10,207.92

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Solution

The fourth proportional to 21,910.80, 32,846.74 and 10,207.92 is: 15,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.80 : 32,846.74 = 10,207.92 : x
  2. Step 2: Convert to fraction form
    21,910.80/32,846.74 = 10,207.92/x
  3. Step 3: Cross multiply
    21,910.80x = 32,846.74 × 10,207.92
  4. Step 4: Simplify right side
    21,910.80x = 335,296,894.18
  5. Step 5: Solve for x
    x = 335,296,894.18/21,910.80
  6. Step 6: Final answer
    x = 15,302.81

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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.