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Finding the Fourth Proportional to 24,325.17, 36,487.80 and 7,684.80

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Solution

The fourth proportional to 24,325.17, 36,487.80 and 7,684.80 is: 11,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,325.17 : 36,487.80 = 7,684.80 : x
  2. Step 2: Convert to fraction form
    24,325.17/36,487.80 = 7,684.80/x
  3. Step 3: Cross multiply
    24,325.17x = 36,487.80 × 7,684.80
  4. Step 4: Simplify right side
    24,325.17x = 280,401,445.44
  5. Step 5: Solve for x
    x = 280,401,445.44/24,325.17
  6. Step 6: Final answer
    x = 11,527.21

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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.