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Finding the Fourth Proportional to 24,384.32, 36,577.72 and 7,745.64

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Solution

The fourth proportional to 24,384.32, 36,577.72 and 7,745.64 is: 11,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.32 : 36,577.72 = 7,745.64 : x
  2. Step 2: Convert to fraction form
    24,384.32/36,577.72 = 7,745.64/x
  3. Step 3: Cross multiply
    24,384.32x = 36,577.72 × 7,745.64
  4. Step 4: Simplify right side
    24,384.32x = 283,317,851.14
  5. Step 5: Solve for x
    x = 283,317,851.14/24,384.32
  6. Step 6: Final answer
    x = 11,618.85

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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.