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Finding the Fourth Proportional to 24,381.38, 36,577.55 and 7,741.95

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Solution

The fourth proportional to 24,381.38, 36,577.55 and 7,741.95 is: 11,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.38 : 36,577.55 = 7,741.95 : x
  2. Step 2: Convert to fraction form
    24,381.38/36,577.55 = 7,741.95/x
  3. Step 3: Cross multiply
    24,381.38x = 36,577.55 × 7,741.95
  4. Step 4: Simplify right side
    24,381.38x = 283,181,563.22
  5. Step 5: Solve for x
    x = 283,181,563.22/24,381.38
  6. Step 6: Final answer
    x = 11,614.67

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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.