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Finding the Fourth Proportional to 21,755.08, 32,632.20 and 6,964

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Solution

The fourth proportional to 21,755.08, 32,632.20 and 6,964 is: 10,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755.08 : 32,632.20 = 6,964 : x
  2. Step 2: Convert to fraction form
    21,755.08/32,632.20 = 6,964/x
  3. Step 3: Cross multiply
    21,755.08x = 32,632.20 × 6,964
  4. Step 4: Simplify right side
    21,755.08x = 227,250,640.80
  5. Step 5: Solve for x
    x = 227,250,640.80/21,755.08
  6. Step 6: Final answer
    x = 10,445.87

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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.