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Finding the Fourth Proportional to 21,454.04, 32,175.93 and 7,414.56

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Solution

The fourth proportional to 21,454.04, 32,175.93 and 7,414.56 is: 11,120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.04 : 32,175.93 = 7,414.56 : x
  2. Step 2: Convert to fraction form
    21,454.04/32,175.93 = 7,414.56/x
  3. Step 3: Cross multiply
    21,454.04x = 32,175.93 × 7,414.56
  4. Step 4: Simplify right side
    21,454.04x = 238,570,481.84
  5. Step 5: Solve for x
    x = 238,570,481.84/21,454.04
  6. Step 6: Final answer
    x = 11,120.07

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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.