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Finding the Fourth Proportional to 21,834.56, 32,750.02 and 7,804.96

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Solution

The fourth proportional to 21,834.56, 32,750.02 and 7,804.96 is: 11,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.56 : 32,750.02 = 7,804.96 : x
  2. Step 2: Convert to fraction form
    21,834.56/32,750.02 = 7,804.96/x
  3. Step 3: Cross multiply
    21,834.56x = 32,750.02 × 7,804.96
  4. Step 4: Simplify right side
    21,834.56x = 255,612,523.98
  5. Step 5: Solve for x
    x = 255,612,523.98/21,834.56
  6. Step 6: Final answer
    x = 11,706.78

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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.