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Finding the Fourth Proportional to 16,215.56, 24,333.06 and 5,828.12

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Solution

The fourth proportional to 16,215.56, 24,333.06 and 5,828.12 is: 8,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.56 : 24,333.06 = 5,828.12 : x
  2. Step 2: Convert to fraction form
    16,215.56/24,333.06 = 5,828.12/x
  3. Step 3: Cross multiply
    16,215.56x = 24,333.06 × 5,828.12
  4. Step 4: Simplify right side
    16,215.56x = 141,815,993.65
  5. Step 5: Solve for x
    x = 141,815,993.65/16,215.56
  6. Step 6: Final answer
    x = 8,745.67

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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.