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Finding the Fourth Proportional to 21,564.72, 32,351.94 and 6,573.20

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Solution

The fourth proportional to 21,564.72, 32,351.94 and 6,573.20 is: 9,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.72 : 32,351.94 = 6,573.20 : x
  2. Step 2: Convert to fraction form
    21,564.72/32,351.94 = 6,573.20/x
  3. Step 3: Cross multiply
    21,564.72x = 32,351.94 × 6,573.20
  4. Step 4: Simplify right side
    21,564.72x = 212,655,610.25
  5. Step 5: Solve for x
    x = 212,655,610.25/21,564.72
  6. Step 6: Final answer
    x = 9,861.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.