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Finding the Fourth Proportional to 16,535.25, 24,769.53 and 7,638.03

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Solution

The fourth proportional to 16,535.25, 24,769.53 and 7,638.03 is: 11,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.25 : 24,769.53 = 7,638.03 : x
  2. Step 2: Convert to fraction form
    16,535.25/24,769.53 = 7,638.03/x
  3. Step 3: Cross multiply
    16,535.25x = 24,769.53 × 7,638.03
  4. Step 4: Simplify right side
    16,535.25x = 189,190,413.23
  5. Step 5: Solve for x
    x = 189,190,413.23/16,535.25
  6. Step 6: Final answer
    x = 11,441.64

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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.