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Finding the Fourth Proportional to 12,706.53, 19,018.40 and 11,494.05

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Solution

The fourth proportional to 12,706.53, 19,018.40 and 11,494.05 is: 17,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.53 : 19,018.40 = 11,494.05 : x
  2. Step 2: Convert to fraction form
    12,706.53/19,018.40 = 11,494.05/x
  3. Step 3: Cross multiply
    12,706.53x = 19,018.40 × 11,494.05
  4. Step 4: Simplify right side
    12,706.53x = 218,598,383.05
  5. Step 5: Solve for x
    x = 218,598,383.05/12,706.53
  6. Step 6: Final answer
    x = 17,203.63

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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.