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Finding the Fourth Proportional to 16,578.31, 24,868.83 and 7,218.64

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Solution

The fourth proportional to 16,578.31, 24,868.83 and 7,218.64 is: 10,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.31 : 24,868.83 = 7,218.64 : x
  2. Step 2: Convert to fraction form
    16,578.31/24,868.83 = 7,218.64/x
  3. Step 3: Cross multiply
    16,578.31x = 24,868.83 × 7,218.64
  4. Step 4: Simplify right side
    16,578.31x = 179,519,130.99
  5. Step 5: Solve for x
    x = 179,519,130.99/16,578.31
  6. Step 6: Final answer
    x = 10,828.55

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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.