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Finding the Fourth Proportional to 21,849.58, 32,774.39 and 9,361.50

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Solution

The fourth proportional to 21,849.58, 32,774.39 and 9,361.50 is: 14,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.58 : 32,774.39 = 9,361.50 : x
  2. Step 2: Convert to fraction form
    21,849.58/32,774.39 = 9,361.50/x
  3. Step 3: Cross multiply
    21,849.58x = 32,774.39 × 9,361.50
  4. Step 4: Simplify right side
    21,849.58x = 306,817,405.18
  5. Step 5: Solve for x
    x = 306,817,405.18/21,849.58
  6. Step 6: Final answer
    x = 14,042.26

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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.