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Finding the Fourth Proportional to 19,864.50, 29,796.74 and 5,072.88

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Solution

The fourth proportional to 19,864.50, 29,796.74 and 5,072.88 is: 7,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864.50 : 29,796.74 = 5,072.88 : x
  2. Step 2: Convert to fraction form
    19,864.50/29,796.74 = 5,072.88/x
  3. Step 3: Cross multiply
    19,864.50x = 29,796.74 × 5,072.88
  4. Step 4: Simplify right side
    19,864.50x = 151,155,261.05
  5. Step 5: Solve for x
    x = 151,155,261.05/19,864.50
  6. Step 6: Final answer
    x = 7,609.32

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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.