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Finding the Fourth Proportional to 14,698.54, 20,269.95 and 9,667

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Solution

The fourth proportional to 14,698.54, 20,269.95 and 9,667 is: 13,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.54 : 20,269.95 = 9,667 : x
  2. Step 2: Convert to fraction form
    14,698.54/20,269.95 = 9,667/x
  3. Step 3: Cross multiply
    14,698.54x = 20,269.95 × 9,667
  4. Step 4: Simplify right side
    14,698.54x = 195,949,606.65
  5. Step 5: Solve for x
    x = 195,949,606.65/14,698.54
  6. Step 6: Final answer
    x = 13,331.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.