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Finding the Fourth Proportional to 23,809.50, 32,857.11 and 13,199.83

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Solution

The fourth proportional to 23,809.50, 32,857.11 and 13,199.83 is: 18,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.50 : 32,857.11 = 13,199.83 : x
  2. Step 2: Convert to fraction form
    23,809.50/32,857.11 = 13,199.83/x
  3. Step 3: Cross multiply
    23,809.50x = 32,857.11 × 13,199.83
  4. Step 4: Simplify right side
    23,809.50x = 433,708,184.15
  5. Step 5: Solve for x
    x = 433,708,184.15/23,809.50
  6. Step 6: Final answer
    x = 18,215.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.