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Finding the Fourth Proportional to 21,487.50, 32,229.93 and 6,694.32

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Solution

The fourth proportional to 21,487.50, 32,229.93 and 6,694.32 is: 10,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,487.50 : 32,229.93 = 6,694.32 : x
  2. Step 2: Convert to fraction form
    21,487.50/32,229.93 = 6,694.32/x
  3. Step 3: Cross multiply
    21,487.50x = 32,229.93 × 6,694.32
  4. Step 4: Simplify right side
    21,487.50x = 215,757,465.00
  5. Step 5: Solve for x
    x = 215,757,465.00/21,487.50
  6. Step 6: Final answer
    x = 10,041.07

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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.