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Finding the Fourth Proportional to 14,467.23, 19,965.32 and 8,179.23

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Solution

The fourth proportional to 14,467.23, 19,965.32 and 8,179.23 is: 11,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.23 : 19,965.32 = 8,179.23 : x
  2. Step 2: Convert to fraction form
    14,467.23/19,965.32 = 8,179.23/x
  3. Step 3: Cross multiply
    14,467.23x = 19,965.32 × 8,179.23
  4. Step 4: Simplify right side
    14,467.23x = 163,300,903.41
  5. Step 5: Solve for x
    x = 163,300,903.41/14,467.23
  6. Step 6: Final answer
    x = 11,287.64

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1.5x scale

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.