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Finding the Fourth Proportional to 16,998, 25,476.84 and 12,824.16

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Solution

The fourth proportional to 16,998, 25,476.84 and 12,824.16 is: 19,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,998 : 25,476.84 = 12,824.16 : x
  2. Step 2: Convert to fraction form
    16,998/25,476.84 = 12,824.16/x
  3. Step 3: Cross multiply
    16,998x = 25,476.84 × 12,824.16
  4. Step 4: Simplify right side
    16,998x = 326,719,072.45
  5. Step 5: Solve for x
    x = 326,719,072.45/16,998
  6. Step 6: Final answer
    x = 19,221.03

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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.