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Finding the Fourth Proportional to 21,623.80, 32,435.50 and 6,832.71

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Solution

The fourth proportional to 21,623.80, 32,435.50 and 6,832.71 is: 10,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,623.80 : 32,435.50 = 6,832.71 : x
  2. Step 2: Convert to fraction form
    21,623.80/32,435.50 = 6,832.71/x
  3. Step 3: Cross multiply
    21,623.80x = 32,435.50 × 6,832.71
  4. Step 4: Simplify right side
    21,623.80x = 221,622,365.21
  5. Step 5: Solve for x
    x = 221,622,365.21/21,623.80
  6. Step 6: Final answer
    x = 10,249.00

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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.