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Finding the Fourth Proportional to 14,447.56, 19,933.62 and 9,144.64

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Solution

The fourth proportional to 14,447.56, 19,933.62 and 9,144.64 is: 12,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.56 : 19,933.62 = 9,144.64 : x
  2. Step 2: Convert to fraction form
    14,447.56/19,933.62 = 9,144.64/x
  3. Step 3: Cross multiply
    14,447.56x = 19,933.62 × 9,144.64
  4. Step 4: Simplify right side
    14,447.56x = 182,285,778.80
  5. Step 5: Solve for x
    x = 182,285,778.80/14,447.56
  6. Step 6: Final answer
    x = 12,617.06

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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.