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Finding the Fourth Proportional to 16,085.81, 24,138.45 and 6,851.81

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Solution

The fourth proportional to 16,085.81, 24,138.45 and 6,851.81 is: 10,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.81 : 24,138.45 = 6,851.81 : x
  2. Step 2: Convert to fraction form
    16,085.81/24,138.45 = 6,851.81/x
  3. Step 3: Cross multiply
    16,085.81x = 24,138.45 × 6,851.81
  4. Step 4: Simplify right side
    16,085.81x = 165,392,133.44
  5. Step 5: Solve for x
    x = 165,392,133.44/16,085.81
  6. Step 6: Final answer
    x = 10,281.86

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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.