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Finding the Fourth Proportional to 17,728.56, 24,464.56 and 10,173.44

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Solution

The fourth proportional to 17,728.56, 24,464.56 and 10,173.44 is: 14,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.56 : 24,464.56 = 10,173.44 : x
  2. Step 2: Convert to fraction form
    17,728.56/24,464.56 = 10,173.44/x
  3. Step 3: Cross multiply
    17,728.56x = 24,464.56 × 10,173.44
  4. Step 4: Simplify right side
    17,728.56x = 248,888,733.29
  5. Step 5: Solve for x
    x = 248,888,733.29/17,728.56
  6. Step 6: Final answer
    x = 14,038.86

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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.