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Finding the Fourth Proportional to 19,706.70, 29,513.06 and 11,369.28

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Solution

The fourth proportional to 19,706.70, 29,513.06 and 11,369.28 is: 17,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.70 : 29,513.06 = 11,369.28 : x
  2. Step 2: Convert to fraction form
    19,706.70/29,513.06 = 11,369.28/x
  3. Step 3: Cross multiply
    19,706.70x = 29,513.06 × 11,369.28
  4. Step 4: Simplify right side
    19,706.70x = 335,542,242.80
  5. Step 5: Solve for x
    x = 335,542,242.80/19,706.70
  6. Step 6: Final answer
    x = 17,026.81

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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.