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Finding the Fourth Proportional to 24,205.38, 36,303.78 and 6,676.56

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Solution

The fourth proportional to 24,205.38, 36,303.78 and 6,676.56 is: 10,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.38 : 36,303.78 = 6,676.56 : x
  2. Step 2: Convert to fraction form
    24,205.38/36,303.78 = 6,676.56/x
  3. Step 3: Cross multiply
    24,205.38x = 36,303.78 × 6,676.56
  4. Step 4: Simplify right side
    24,205.38x = 242,384,365.40
  5. Step 5: Solve for x
    x = 242,384,365.40/24,205.38
  6. Step 6: Final answer
    x = 10,013.66

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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.