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Finding the Fourth Proportional to 16,783, 25,173.42 and 6,919.72

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Solution

The fourth proportional to 16,783, 25,173.42 and 6,919.72 is: 10,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783 : 25,173.42 = 6,919.72 : x
  2. Step 2: Convert to fraction form
    16,783/25,173.42 = 6,919.72/x
  3. Step 3: Cross multiply
    16,783x = 25,173.42 × 6,919.72
  4. Step 4: Simplify right side
    16,783x = 174,193,017.84
  5. Step 5: Solve for x
    x = 174,193,017.84/16,783
  6. Step 6: Final answer
    x = 10,379.13

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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.