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Finding the Fourth Proportional to 14,464.54, 19,962.07 and 8,093.23

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Solution

The fourth proportional to 14,464.54, 19,962.07 and 8,093.23 is: 11,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.54 : 19,962.07 = 8,093.23 : x
  2. Step 2: Convert to fraction form
    14,464.54/19,962.07 = 8,093.23/x
  3. Step 3: Cross multiply
    14,464.54x = 19,962.07 × 8,093.23
  4. Step 4: Simplify right side
    14,464.54x = 161,557,623.79
  5. Step 5: Solve for x
    x = 161,557,623.79/14,464.54
  6. Step 6: Final answer
    x = 11,169.22

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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.