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Finding the Fourth Proportional to 16,767.64, 25,135.83 and 5,666.57

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Solution

The fourth proportional to 16,767.64, 25,135.83 and 5,666.57 is: 8,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.64 : 25,135.83 = 5,666.57 : x
  2. Step 2: Convert to fraction form
    16,767.64/25,135.83 = 5,666.57/x
  3. Step 3: Cross multiply
    16,767.64x = 25,135.83 × 5,666.57
  4. Step 4: Simplify right side
    16,767.64x = 142,433,814.52
  5. Step 5: Solve for x
    x = 142,433,814.52/16,767.64
  6. Step 6: Final answer
    x = 8,494.57

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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.