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Finding the Fourth Proportional to 21,448.30, 32,172.48 and 8,961.52

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Solution

The fourth proportional to 21,448.30, 32,172.48 and 8,961.52 is: 13,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448.30 : 32,172.48 = 8,961.52 : x
  2. Step 2: Convert to fraction form
    21,448.30/32,172.48 = 8,961.52/x
  3. Step 3: Cross multiply
    21,448.30x = 32,172.48 × 8,961.52
  4. Step 4: Simplify right side
    21,448.30x = 288,314,322.97
  5. Step 5: Solve for x
    x = 288,314,322.97/21,448.30
  6. Step 6: Final answer
    x = 13,442.29

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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.