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Finding the Fourth Proportional to 18,245.78, 25,178.82 and 10,288.01

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Solution

The fourth proportional to 18,245.78, 25,178.82 and 10,288.01 is: 14,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,245.78 : 25,178.82 = 10,288.01 : x
  2. Step 2: Convert to fraction form
    18,245.78/25,178.82 = 10,288.01/x
  3. Step 3: Cross multiply
    18,245.78x = 25,178.82 × 10,288.01
  4. Step 4: Simplify right side
    18,245.78x = 259,039,826.05
  5. Step 5: Solve for x
    x = 259,039,826.05/18,245.78
  6. Step 6: Final answer
    x = 14,197.25

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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.