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Finding the Fourth Proportional to 12,418.88, 17,137.28 and 6,828.80

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Solution

The fourth proportional to 12,418.88, 17,137.28 and 6,828.80 is: 9,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.88 : 17,137.28 = 6,828.80 : x
  2. Step 2: Convert to fraction form
    12,418.88/17,137.28 = 6,828.80/x
  3. Step 3: Cross multiply
    12,418.88x = 17,137.28 × 6,828.80
  4. Step 4: Simplify right side
    12,418.88x = 117,027,057.66
  5. Step 5: Solve for x
    x = 117,027,057.66/12,418.88
  6. Step 6: Final answer
    x = 9,423.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.