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Finding the Fourth Proportional to 12,844.75, 17,657.76 and 11,045.60

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Solution

The fourth proportional to 12,844.75, 17,657.76 and 11,045.60 is: 15,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.75 : 17,657.76 = 11,045.60 : x
  2. Step 2: Convert to fraction form
    12,844.75/17,657.76 = 11,045.60/x
  3. Step 3: Cross multiply
    12,844.75x = 17,657.76 × 11,045.60
  4. Step 4: Simplify right side
    12,844.75x = 195,040,498.63
  5. Step 5: Solve for x
    x = 195,040,498.63/12,844.75
  6. Step 6: Final answer
    x = 15,184.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.