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Finding the Fourth Proportional to 16,311.21, 24,470.59 and 5,780.67

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Solution

The fourth proportional to 16,311.21, 24,470.59 and 5,780.67 is: 8,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.21 : 24,470.59 = 5,780.67 : x
  2. Step 2: Convert to fraction form
    16,311.21/24,470.59 = 5,780.67/x
  3. Step 3: Cross multiply
    16,311.21x = 24,470.59 × 5,780.67
  4. Step 4: Simplify right side
    16,311.21x = 141,456,405.50
  5. Step 5: Solve for x
    x = 141,456,405.50/16,311.21
  6. Step 6: Final answer
    x = 8,672.34

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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.