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Finding the Fourth Proportional to 21,573.50, 32,367.99 and 8,435.30

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Solution

The fourth proportional to 21,573.50, 32,367.99 and 8,435.30 is: 12,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573.50 : 32,367.99 = 8,435.30 : x
  2. Step 2: Convert to fraction form
    21,573.50/32,367.99 = 8,435.30/x
  3. Step 3: Cross multiply
    21,573.50x = 32,367.99 × 8,435.30
  4. Step 4: Simplify right side
    21,573.50x = 273,033,502.03
  5. Step 5: Solve for x
    x = 273,033,502.03/21,573.50
  6. Step 6: Final answer
    x = 12,655.97

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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.