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Finding the Fourth Proportional to 12,844.62, 17,657.58 and 11,045.48

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Solution

The fourth proportional to 12,844.62, 17,657.58 and 11,045.48 is: 15,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.62 : 17,657.58 = 11,045.48 : x
  2. Step 2: Convert to fraction form
    12,844.62/17,657.58 = 11,045.48/x
  3. Step 3: Cross multiply
    12,844.62x = 17,657.58 × 11,045.48
  4. Step 4: Simplify right side
    12,844.62x = 195,036,399.87
  5. Step 5: Solve for x
    x = 195,036,399.87/12,844.62
  6. Step 6: Final answer
    x = 15,184.29

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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.