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Finding the Fourth Proportional to 16,866.38, 25,303.89 and 5,180.78

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Solution

The fourth proportional to 16,866.38, 25,303.89 and 5,180.78 is: 7,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,866.38 : 25,303.89 = 5,180.78 : x
  2. Step 2: Convert to fraction form
    16,866.38/25,303.89 = 5,180.78/x
  3. Step 3: Cross multiply
    16,866.38x = 25,303.89 × 5,180.78
  4. Step 4: Simplify right side
    16,866.38x = 131,093,887.23
  5. Step 5: Solve for x
    x = 131,093,887.23/16,866.38
  6. Step 6: Final answer
    x = 7,772.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.