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Finding the Fourth Proportional to 21,507.22, 32,273.10 and 8,357.88

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Solution

The fourth proportional to 21,507.22, 32,273.10 and 8,357.88 is: 12,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.22 : 32,273.10 = 8,357.88 : x
  2. Step 2: Convert to fraction form
    21,507.22/32,273.10 = 8,357.88/x
  3. Step 3: Cross multiply
    21,507.22x = 32,273.10 × 8,357.88
  4. Step 4: Simplify right side
    21,507.22x = 269,734,697.03
  5. Step 5: Solve for x
    x = 269,734,697.03/21,507.22
  6. Step 6: Final answer
    x = 12,541.59

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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.