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Finding the Fourth Proportional to 24,394.21, 36,580.95 and 7,749.79

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Solution

The fourth proportional to 24,394.21, 36,580.95 and 7,749.79 is: 11,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.21 : 36,580.95 = 7,749.79 : x
  2. Step 2: Convert to fraction form
    24,394.21/36,580.95 = 7,749.79/x
  3. Step 3: Cross multiply
    24,394.21x = 36,580.95 × 7,749.79
  4. Step 4: Simplify right side
    24,394.21x = 283,494,589.05
  5. Step 5: Solve for x
    x = 283,494,589.05/24,394.21
  6. Step 6: Final answer
    x = 11,621.39

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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.