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Finding the Fourth Proportional to 19,448.50, 29,177.07 and 7,136.50

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Solution

The fourth proportional to 19,448.50, 29,177.07 and 7,136.50 is: 10,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,448.50 : 29,177.07 = 7,136.50 : x
  2. Step 2: Convert to fraction form
    19,448.50/29,177.07 = 7,136.50/x
  3. Step 3: Cross multiply
    19,448.50x = 29,177.07 × 7,136.50
  4. Step 4: Simplify right side
    19,448.50x = 208,222,160.06
  5. Step 5: Solve for x
    x = 208,222,160.06/19,448.50
  6. Step 6: Final answer
    x = 10,706.34

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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.