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Finding the Fourth Proportional to 18,144.14, 25,045.20 and 10,978.07

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Solution

The fourth proportional to 18,144.14, 25,045.20 and 10,978.07 is: 15,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144.14 : 25,045.20 = 10,978.07 : x
  2. Step 2: Convert to fraction form
    18,144.14/25,045.20 = 10,978.07/x
  3. Step 3: Cross multiply
    18,144.14x = 25,045.20 × 10,978.07
  4. Step 4: Simplify right side
    18,144.14x = 274,947,833.54
  5. Step 5: Solve for x
    x = 274,947,833.54/18,144.14
  6. Step 6: Final answer
    x = 15,153.54

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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.