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Finding the Fourth Proportional to 24,241.85, 36,363.63 and 6,713

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Solution

The fourth proportional to 24,241.85, 36,363.63 and 6,713 is: 10,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,241.85 : 36,363.63 = 6,713 : x
  2. Step 2: Convert to fraction form
    24,241.85/36,363.63 = 6,713/x
  3. Step 3: Cross multiply
    24,241.85x = 36,363.63 × 6,713
  4. Step 4: Simplify right side
    24,241.85x = 244,109,048.19
  5. Step 5: Solve for x
    x = 244,109,048.19/24,241.85
  6. Step 6: Final answer
    x = 10,069.74

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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.