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Finding the Fourth Proportional to 24,384.18, 36,577.53 and 7,745.51

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Solution

The fourth proportional to 24,384.18, 36,577.53 and 7,745.51 is: 11,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.18 : 36,577.53 = 7,745.51 : x
  2. Step 2: Convert to fraction form
    24,384.18/36,577.53 = 7,745.51/x
  3. Step 3: Cross multiply
    24,384.18x = 36,577.53 × 7,745.51
  4. Step 4: Simplify right side
    24,384.18x = 283,311,624.39
  5. Step 5: Solve for x
    x = 283,311,624.39/24,384.18
  6. Step 6: Final answer
    x = 11,618.67

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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.