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Finding the Fourth Proportional to 16,880.10, 25,323.74 and 5,783.81

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Solution

The fourth proportional to 16,880.10, 25,323.74 and 5,783.81 is: 8,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,880.10 : 25,323.74 = 5,783.81 : x
  2. Step 2: Convert to fraction form
    16,880.10/25,323.74 = 5,783.81/x
  3. Step 3: Cross multiply
    16,880.10x = 25,323.74 × 5,783.81
  4. Step 4: Simplify right side
    16,880.10x = 146,467,700.65
  5. Step 5: Solve for x
    x = 146,467,700.65/16,880.10
  6. Step 6: Final answer
    x = 8,676.95

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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.