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Finding the Fourth Proportional to 23,883.46, 32,950.65 and 16,418.50

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Solution

The fourth proportional to 23,883.46, 32,950.65 and 16,418.50 is: 22,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883.46 : 32,950.65 = 16,418.50 : x
  2. Step 2: Convert to fraction form
    23,883.46/32,950.65 = 16,418.50/x
  3. Step 3: Cross multiply
    23,883.46x = 32,950.65 × 16,418.50
  4. Step 4: Simplify right side
    23,883.46x = 541,000,247.03
  5. Step 5: Solve for x
    x = 541,000,247.03/23,883.46
  6. Step 6: Final answer
    x = 22,651.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.