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Finding the Fourth Proportional to 24,563.24, 36,817.50 and 9,768.20

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Solution

The fourth proportional to 24,563.24, 36,817.50 and 9,768.20 is: 14,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.24 : 36,817.50 = 9,768.20 : x
  2. Step 2: Convert to fraction form
    24,563.24/36,817.50 = 9,768.20/x
  3. Step 3: Cross multiply
    24,563.24x = 36,817.50 × 9,768.20
  4. Step 4: Simplify right side
    24,563.24x = 359,640,703.50
  5. Step 5: Solve for x
    x = 359,640,703.50/24,563.24
  6. Step 6: Final answer
    x = 14,641.42

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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.