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Finding the Fourth Proportional to 21,563.00, 32,344.64 and 7,522.97

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Solution

The fourth proportional to 21,563.00, 32,344.64 and 7,522.97 is: 11,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.00 : 32,344.64 = 7,522.97 : x
  2. Step 2: Convert to fraction form
    21,563.00/32,344.64 = 7,522.97/x
  3. Step 3: Cross multiply
    21,563.00x = 32,344.64 × 7,522.97
  4. Step 4: Simplify right side
    21,563.00x = 243,327,557.04
  5. Step 5: Solve for x
    x = 243,327,557.04/21,563.00
  6. Step 6: Final answer
    x = 11,284.50

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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.