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Finding the Fourth Proportional to 21,458.54, 32,181.66 and 7,414.89

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Solution

The fourth proportional to 21,458.54, 32,181.66 and 7,414.89 is: 11,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.54 : 32,181.66 = 7,414.89 : x
  2. Step 2: Convert to fraction form
    21,458.54/32,181.66 = 7,414.89/x
  3. Step 3: Cross multiply
    21,458.54x = 32,181.66 × 7,414.89
  4. Step 4: Simplify right side
    21,458.54x = 238,623,468.92
  5. Step 5: Solve for x
    x = 238,623,468.92/21,458.54
  6. Step 6: Final answer
    x = 11,120.21

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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.