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Finding the Fourth Proportional to 24,418.21, 36,626.93 and 7,778.10

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Solution

The fourth proportional to 24,418.21, 36,626.93 and 7,778.10 is: 11,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,418.21 : 36,626.93 = 7,778.10 : x
  2. Step 2: Convert to fraction form
    24,418.21/36,626.93 = 7,778.10/x
  3. Step 3: Cross multiply
    24,418.21x = 36,626.93 × 7,778.10
  4. Step 4: Simplify right side
    24,418.21x = 284,888,051.86
  5. Step 5: Solve for x
    x = 284,888,051.86/24,418.21
  6. Step 6: Final answer
    x = 11,667.03

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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.