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Finding the Fourth Proportional to 21,593.70, 32,399.96 and 7,563.80

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Solution

The fourth proportional to 21,593.70, 32,399.96 and 7,563.80 is: 11,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,593.70 : 32,399.96 = 7,563.80 : x
  2. Step 2: Convert to fraction form
    21,593.70/32,399.96 = 7,563.80/x
  3. Step 3: Cross multiply
    21,593.70x = 32,399.96 × 7,563.80
  4. Step 4: Simplify right side
    21,593.70x = 245,066,860.63
  5. Step 5: Solve for x
    x = 245,066,860.63/21,593.70
  6. Step 6: Final answer
    x = 11,349.00

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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.