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Finding the Fourth Proportional to 20,724.89, 31,089.62 and 7,400.99

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Solution

The fourth proportional to 20,724.89, 31,089.62 and 7,400.99 is: 11,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724.89 : 31,089.62 = 7,400.99 : x
  2. Step 2: Convert to fraction form
    20,724.89/31,089.62 = 7,400.99/x
  3. Step 3: Cross multiply
    20,724.89x = 31,089.62 × 7,400.99
  4. Step 4: Simplify right side
    20,724.89x = 230,094,062.95
  5. Step 5: Solve for x
    x = 230,094,062.95/20,724.89
  6. Step 6: Final answer
    x = 11,102.31

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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.