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Finding the Fourth Proportional to 21,716.34, 32,578.64 and 7,481.04

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Solution

The fourth proportional to 21,716.34, 32,578.64 and 7,481.04 is: 11,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.34 : 32,578.64 = 7,481.04 : x
  2. Step 2: Convert to fraction form
    21,716.34/32,578.64 = 7,481.04/x
  3. Step 3: Cross multiply
    21,716.34x = 32,578.64 × 7,481.04
  4. Step 4: Simplify right side
    21,716.34x = 243,722,071.58
  5. Step 5: Solve for x
    x = 243,722,071.58/21,716.34
  6. Step 6: Final answer
    x = 11,222.98

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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.