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Finding the Fourth Proportional to 21,841.32, 32,774.68 and 9,190.16

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Solution

The fourth proportional to 21,841.32, 32,774.68 and 9,190.16 is: 13,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.32 : 32,774.68 = 9,190.16 : x
  2. Step 2: Convert to fraction form
    21,841.32/32,774.68 = 9,190.16/x
  3. Step 3: Cross multiply
    21,841.32x = 32,774.68 × 9,190.16
  4. Step 4: Simplify right side
    21,841.32x = 301,204,553.15
  5. Step 5: Solve for x
    x = 301,204,553.15/21,841.32
  6. Step 6: Final answer
    x = 13,790.58

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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.