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Finding the Fourth Proportional to 21,514.58, 32,251.80 and 7,273.14

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Solution

The fourth proportional to 21,514.58, 32,251.80 and 7,273.14 is: 10,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.58 : 32,251.80 = 7,273.14 : x
  2. Step 2: Convert to fraction form
    21,514.58/32,251.80 = 7,273.14/x
  3. Step 3: Cross multiply
    21,514.58x = 32,251.80 × 7,273.14
  4. Step 4: Simplify right side
    21,514.58x = 234,571,856.65
  5. Step 5: Solve for x
    x = 234,571,856.65/21,514.58
  6. Step 6: Final answer
    x = 10,902.93

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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.