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Finding the Fourth Proportional to 24,394.94, 36,591.90 and 7,755

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Solution

The fourth proportional to 24,394.94, 36,591.90 and 7,755 is: 11,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.94 : 36,591.90 = 7,755 : x
  2. Step 2: Convert to fraction form
    24,394.94/36,591.90 = 7,755/x
  3. Step 3: Cross multiply
    24,394.94x = 36,591.90 × 7,755
  4. Step 4: Simplify right side
    24,394.94x = 283,770,184.50
  5. Step 5: Solve for x
    x = 283,770,184.50/24,394.94
  6. Step 6: Final answer
    x = 11,632.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.