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Finding the Fourth Proportional to 16,596.74, 24,883.14 and 7,823

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Solution

The fourth proportional to 16,596.74, 24,883.14 and 7,823 is: 11,728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.74 : 24,883.14 = 7,823 : x
  2. Step 2: Convert to fraction form
    16,596.74/24,883.14 = 7,823/x
  3. Step 3: Cross multiply
    16,596.74x = 24,883.14 × 7,823
  4. Step 4: Simplify right side
    16,596.74x = 194,660,804.22
  5. Step 5: Solve for x
    x = 194,660,804.22/16,596.74
  6. Step 6: Final answer
    x = 11,728.86

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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.