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Finding the Fourth Proportional to 15,782.21, 23,655.33 and 9,861.83

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Solution

The fourth proportional to 15,782.21, 23,655.33 and 9,861.83 is: 14,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.21 : 23,655.33 = 9,861.83 : x
  2. Step 2: Convert to fraction form
    15,782.21/23,655.33 = 9,861.83/x
  3. Step 3: Cross multiply
    15,782.21x = 23,655.33 × 9,861.83
  4. Step 4: Simplify right side
    15,782.21x = 233,284,843.05
  5. Step 5: Solve for x
    x = 233,284,843.05/15,782.21
  6. Step 6: Final answer
    x = 14,781.51

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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.