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Finding the Fourth Proportional to 21,458.63, 32,181.96 and 11,959.25

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Solution

The fourth proportional to 21,458.63, 32,181.96 and 11,959.25 is: 17,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.63 : 32,181.96 = 11,959.25 : x
  2. Step 2: Convert to fraction form
    21,458.63/32,181.96 = 11,959.25/x
  3. Step 3: Cross multiply
    21,458.63x = 32,181.96 × 11,959.25
  4. Step 4: Simplify right side
    21,458.63x = 384,872,105.13
  5. Step 5: Solve for x
    x = 384,872,105.13/21,458.63
  6. Step 6: Final answer
    x = 17,935.54

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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.