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Finding the Fourth Proportional to 14,505.54, 21,743.41 and 8,252.23

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Solution

The fourth proportional to 14,505.54, 21,743.41 and 8,252.23 is: 12,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.54 : 21,743.41 = 8,252.23 : x
  2. Step 2: Convert to fraction form
    14,505.54/21,743.41 = 8,252.23/x
  3. Step 3: Cross multiply
    14,505.54x = 21,743.41 × 8,252.23
  4. Step 4: Simplify right side
    14,505.54x = 179,431,712.16
  5. Step 5: Solve for x
    x = 179,431,712.16/14,505.54
  6. Step 6: Final answer
    x = 12,369.88

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1.5x scale

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.