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Finding the Fourth Proportional to 16,211.76, 24,317.19 and 4,524.63

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Solution

The fourth proportional to 16,211.76, 24,317.19 and 4,524.63 is: 6,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.76 : 24,317.19 = 4,524.63 : x
  2. Step 2: Convert to fraction form
    16,211.76/24,317.19 = 4,524.63/x
  3. Step 3: Cross multiply
    16,211.76x = 24,317.19 × 4,524.63
  4. Step 4: Simplify right side
    16,211.76x = 110,026,287.39
  5. Step 5: Solve for x
    x = 110,026,287.39/16,211.76
  6. Step 6: Final answer
    x = 6,786.82

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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.