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Finding the Fourth Proportional to 24,323.67, 36,485.55 and 7,683.30

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Solution

The fourth proportional to 24,323.67, 36,485.55 and 7,683.30 is: 11,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,323.67 : 36,485.55 = 7,683.30 : x
  2. Step 2: Convert to fraction form
    24,323.67/36,485.55 = 7,683.30/x
  3. Step 3: Cross multiply
    24,323.67x = 36,485.55 × 7,683.30
  4. Step 4: Simplify right side
    24,323.67x = 280,329,426.32
  5. Step 5: Solve for x
    x = 280,329,426.32/24,323.67
  6. Step 6: Final answer
    x = 11,524.96

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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.