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Finding the Fourth Proportional to 16,469.54, 24,698.01 and 8,146.70

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Solution

The fourth proportional to 16,469.54, 24,698.01 and 8,146.70 is: 12,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.54 : 24,698.01 = 8,146.70 : x
  2. Step 2: Convert to fraction form
    16,469.54/24,698.01 = 8,146.70/x
  3. Step 3: Cross multiply
    16,469.54x = 24,698.01 × 8,146.70
  4. Step 4: Simplify right side
    16,469.54x = 201,207,278.07
  5. Step 5: Solve for x
    x = 201,207,278.07/16,469.54
  6. Step 6: Final answer
    x = 12,216.93

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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.