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Finding the Fourth Proportional to 14,466.16, 19,963.43 and 8,092.88

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Solution

The fourth proportional to 14,466.16, 19,963.43 and 8,092.88 is: 11,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.16 : 19,963.43 = 8,092.88 : x
  2. Step 2: Convert to fraction form
    14,466.16/19,963.43 = 8,092.88/x
  3. Step 3: Cross multiply
    14,466.16x = 19,963.43 × 8,092.88
  4. Step 4: Simplify right side
    14,466.16x = 161,561,608.31
  5. Step 5: Solve for x
    x = 161,561,608.31/14,466.16
  6. Step 6: Final answer
    x = 11,168.24

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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.