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Finding the Fourth Proportional to 16,234.40, 24,351.84 and 4,546.88

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Solution

The fourth proportional to 16,234.40, 24,351.84 and 4,546.88 is: 6,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.40 : 24,351.84 = 4,546.88 : x
  2. Step 2: Convert to fraction form
    16,234.40/24,351.84 = 4,546.88/x
  3. Step 3: Cross multiply
    16,234.40x = 24,351.84 × 4,546.88
  4. Step 4: Simplify right side
    16,234.40x = 110,724,894.26
  5. Step 5: Solve for x
    x = 110,724,894.26/16,234.40
  6. Step 6: Final answer
    x = 6,820.39

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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.