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Finding the Fourth Proportional to 22,403.50, 33,605.25 and 7,811.50

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Solution

The fourth proportional to 22,403.50, 33,605.25 and 7,811.50 is: 11,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,403.50 : 33,605.25 = 7,811.50 : x
  2. Step 2: Convert to fraction form
    22,403.50/33,605.25 = 7,811.50/x
  3. Step 3: Cross multiply
    22,403.50x = 33,605.25 × 7,811.50
  4. Step 4: Simplify right side
    22,403.50x = 262,507,410.38
  5. Step 5: Solve for x
    x = 262,507,410.38/22,403.50
  6. Step 6: Final answer
    x = 11,717.25

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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.