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Finding the Fourth Proportional to 20,782.19, 31,173.29 and 5,199.82

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Solution

The fourth proportional to 20,782.19, 31,173.29 and 5,199.82 is: 7,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.19 : 31,173.29 = 5,199.82 : x
  2. Step 2: Convert to fraction form
    20,782.19/31,173.29 = 5,199.82/x
  3. Step 3: Cross multiply
    20,782.19x = 31,173.29 × 5,199.82
  4. Step 4: Simplify right side
    20,782.19x = 162,095,496.81
  5. Step 5: Solve for x
    x = 162,095,496.81/20,782.19
  6. Step 6: Final answer
    x = 7,799.73

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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.