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Finding the Fourth Proportional to 21,458.01, 32,179.11 and 7,414.44

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Solution

The fourth proportional to 21,458.01, 32,179.11 and 7,414.44 is: 11,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.01 : 32,179.11 = 7,414.44 : x
  2. Step 2: Convert to fraction form
    21,458.01/32,179.11 = 7,414.44/x
  3. Step 3: Cross multiply
    21,458.01x = 32,179.11 × 7,414.44
  4. Step 4: Simplify right side
    21,458.01x = 238,590,080.35
  5. Step 5: Solve for x
    x = 238,590,080.35/21,458.01
  6. Step 6: Final answer
    x = 11,118.93

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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.