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Finding the Fourth Proportional to 24,427.88, 36,644.55 and 7,784.06

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Solution

The fourth proportional to 24,427.88, 36,644.55 and 7,784.06 is: 11,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.88 : 36,644.55 = 7,784.06 : x
  2. Step 2: Convert to fraction form
    24,427.88/36,644.55 = 7,784.06/x
  3. Step 3: Cross multiply
    24,427.88x = 36,644.55 × 7,784.06
  4. Step 4: Simplify right side
    24,427.88x = 285,243,375.87
  5. Step 5: Solve for x
    x = 285,243,375.87/24,427.88
  6. Step 6: Final answer
    x = 11,676.96

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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.