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Finding the Fourth Proportional to 16,694.19, 25,041.29 and 6,829.47

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Solution

The fourth proportional to 16,694.19, 25,041.29 and 6,829.47 is: 10,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,694.19 : 25,041.29 = 6,829.47 : x
  2. Step 2: Convert to fraction form
    16,694.19/25,041.29 = 6,829.47/x
  3. Step 3: Cross multiply
    16,694.19x = 25,041.29 × 6,829.47
  4. Step 4: Simplify right side
    16,694.19x = 171,018,738.82
  5. Step 5: Solve for x
    x = 171,018,738.82/16,694.19
  6. Step 6: Final answer
    x = 10,244.21

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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.