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Finding the Fourth Proportional to 19,972.50, 29,958.75 and 5,380.50

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Solution

The fourth proportional to 19,972.50, 29,958.75 and 5,380.50 is: 8,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972.50 : 29,958.75 = 5,380.50 : x
  2. Step 2: Convert to fraction form
    19,972.50/29,958.75 = 5,380.50/x
  3. Step 3: Cross multiply
    19,972.50x = 29,958.75 × 5,380.50
  4. Step 4: Simplify right side
    19,972.50x = 161,193,054.38
  5. Step 5: Solve for x
    x = 161,193,054.38/19,972.50
  6. Step 6: Final answer
    x = 8,070.75

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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.