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Finding the Fourth Proportional to 21,884.99, 32,832.36 and 6,301.40

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Solution

The fourth proportional to 21,884.99, 32,832.36 and 6,301.40 is: 9,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.99 : 32,832.36 = 6,301.40 : x
  2. Step 2: Convert to fraction form
    21,884.99/32,832.36 = 6,301.40/x
  3. Step 3: Cross multiply
    21,884.99x = 32,832.36 × 6,301.40
  4. Step 4: Simplify right side
    21,884.99x = 206,889,669.14
  5. Step 5: Solve for x
    x = 206,889,669.14/21,884.99
  6. Step 6: Final answer
    x = 9,453.50

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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.