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Finding the Fourth Proportional to 24,419.31, 36,626.94 and 7,778.67

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Solution

The fourth proportional to 24,419.31, 36,626.94 and 7,778.67 is: 11,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.31 : 36,626.94 = 7,778.67 : x
  2. Step 2: Convert to fraction form
    24,419.31/36,626.94 = 7,778.67/x
  3. Step 3: Cross multiply
    24,419.31x = 36,626.94 × 7,778.67
  4. Step 4: Simplify right side
    24,419.31x = 284,908,879.37
  5. Step 5: Solve for x
    x = 284,908,879.37/24,419.31
  6. Step 6: Final answer
    x = 11,667.36

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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.