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Finding the Fourth Proportional to 21,566.96, 32,342.38 and 7,523.38

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Solution

The fourth proportional to 21,566.96, 32,342.38 and 7,523.38 is: 11,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,566.96 : 32,342.38 = 7,523.38 : x
  2. Step 2: Convert to fraction form
    21,566.96/32,342.38 = 7,523.38/x
  3. Step 3: Cross multiply
    21,566.96x = 32,342.38 × 7,523.38
  4. Step 4: Simplify right side
    21,566.96x = 243,324,014.84
  5. Step 5: Solve for x
    x = 243,324,014.84/21,566.96
  6. Step 6: Final answer
    x = 11,282.26

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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.