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Finding the Fourth Proportional to 23,945.50, 35,918.25 and 7,529.50

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Solution

The fourth proportional to 23,945.50, 35,918.25 and 7,529.50 is: 11,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,945.50 : 35,918.25 = 7,529.50 : x
  2. Step 2: Convert to fraction form
    23,945.50/35,918.25 = 7,529.50/x
  3. Step 3: Cross multiply
    23,945.50x = 35,918.25 × 7,529.50
  4. Step 4: Simplify right side
    23,945.50x = 270,446,463.38
  5. Step 5: Solve for x
    x = 270,446,463.38/23,945.50
  6. Step 6: Final answer
    x = 11,294.25

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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.