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Finding the Fourth Proportional to 21,354.11, 32,034.22 and 6,564.27

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Solution

The fourth proportional to 21,354.11, 32,034.22 and 6,564.27 is: 9,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.11 : 32,034.22 = 6,564.27 : x
  2. Step 2: Convert to fraction form
    21,354.11/32,034.22 = 6,564.27/x
  3. Step 3: Cross multiply
    21,354.11x = 32,034.22 × 6,564.27
  4. Step 4: Simplify right side
    21,354.11x = 210,281,169.70
  5. Step 5: Solve for x
    x = 210,281,169.70/21,354.11
  6. Step 6: Final answer
    x = 9,847.34

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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.