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Finding the Fourth Proportional to 19,667, 29,506.26 and 5,816.36

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Solution

The fourth proportional to 19,667, 29,506.26 and 5,816.36 is: 8,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667 : 29,506.26 = 5,816.36 : x
  2. Step 2: Convert to fraction form
    19,667/29,506.26 = 5,816.36/x
  3. Step 3: Cross multiply
    19,667x = 29,506.26 × 5,816.36
  4. Step 4: Simplify right side
    19,667x = 171,619,030.41
  5. Step 5: Solve for x
    x = 171,619,030.41/19,667
  6. Step 6: Final answer
    x = 8,726.24

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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.