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Finding the Fourth Proportional to 12,415.88, 17,137.14 and 8,222.60

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Solution

The fourth proportional to 12,415.88, 17,137.14 and 8,222.60 is: 11,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.88 : 17,137.14 = 8,222.60 : x
  2. Step 2: Convert to fraction form
    12,415.88/17,137.14 = 8,222.60/x
  3. Step 3: Cross multiply
    12,415.88x = 17,137.14 × 8,222.60
  4. Step 4: Simplify right side
    12,415.88x = 140,911,847.36
  5. Step 5: Solve for x
    x = 140,911,847.36/12,415.88
  6. Step 6: Final answer
    x = 11,349.32

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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.