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Finding the Fourth Proportional to 24,622.85, 36,937.69 and 7,977.49

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Solution

The fourth proportional to 24,622.85, 36,937.69 and 7,977.49 is: 11,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,622.85 : 36,937.69 = 7,977.49 : x
  2. Step 2: Convert to fraction form
    24,622.85/36,937.69 = 7,977.49/x
  3. Step 3: Cross multiply
    24,622.85x = 36,937.69 × 7,977.49
  4. Step 4: Simplify right side
    24,622.85x = 294,669,940.31
  5. Step 5: Solve for x
    x = 294,669,940.31/24,622.85
  6. Step 6: Final answer
    x = 11,967.34

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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.