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Finding the Fourth Proportional to 20,796.93, 31,199.58 and 7,649.01

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Solution

The fourth proportional to 20,796.93, 31,199.58 and 7,649.01 is: 11,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796.93 : 31,199.58 = 7,649.01 : x
  2. Step 2: Convert to fraction form
    20,796.93/31,199.58 = 7,649.01/x
  3. Step 3: Cross multiply
    20,796.93x = 31,199.58 × 7,649.01
  4. Step 4: Simplify right side
    20,796.93x = 238,645,899.42
  5. Step 5: Solve for x
    x = 238,645,899.42/20,796.93
  6. Step 6: Final answer
    x = 11,475.05

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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.