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Finding the Fourth Proportional to 18,825.75, 25,980.75 and 10,442.25

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Solution

The fourth proportional to 18,825.75, 25,980.75 and 10,442.25 is: 14,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825.75 : 25,980.75 = 10,442.25 : x
  2. Step 2: Convert to fraction form
    18,825.75/25,980.75 = 10,442.25/x
  3. Step 3: Cross multiply
    18,825.75x = 25,980.75 × 10,442.25
  4. Step 4: Simplify right side
    18,825.75x = 271,297,486.69
  5. Step 5: Solve for x
    x = 271,297,486.69/18,825.75
  6. Step 6: Final answer
    x = 14,410.98

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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.