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Finding the Fourth Proportional to 21,675.21, 32,522.21 and 7,645.28

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Solution

The fourth proportional to 21,675.21, 32,522.21 and 7,645.28 is: 11,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.21 : 32,522.21 = 7,645.28 : x
  2. Step 2: Convert to fraction form
    21,675.21/32,522.21 = 7,645.28/x
  3. Step 3: Cross multiply
    21,675.21x = 32,522.21 × 7,645.28
  4. Step 4: Simplify right side
    21,675.21x = 248,641,200.83
  5. Step 5: Solve for x
    x = 248,641,200.83/21,675.21
  6. Step 6: Final answer
    x = 11,471.22

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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.