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Finding the Fourth Proportional to 21,777.96, 32,659.26 and 9,459.24

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Solution

The fourth proportional to 21,777.96, 32,659.26 and 9,459.24 is: 14,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777.96 : 32,659.26 = 9,459.24 : x
  2. Step 2: Convert to fraction form
    21,777.96/32,659.26 = 9,459.24/x
  3. Step 3: Cross multiply
    21,777.96x = 32,659.26 × 9,459.24
  4. Step 4: Simplify right side
    21,777.96x = 308,931,778.56
  5. Step 5: Solve for x
    x = 308,931,778.56/21,777.96
  6. Step 6: Final answer
    x = 14,185.52

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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.