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Finding the Fourth Proportional to 18,535.98, 25,580.70 and 10,986.78

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Solution

The fourth proportional to 18,535.98, 25,580.70 and 10,986.78 is: 15,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,535.98 : 25,580.70 = 10,986.78 : x
  2. Step 2: Convert to fraction form
    18,535.98/25,580.70 = 10,986.78/x
  3. Step 3: Cross multiply
    18,535.98x = 25,580.70 × 10,986.78
  4. Step 4: Simplify right side
    18,535.98x = 281,049,523.15
  5. Step 5: Solve for x
    x = 281,049,523.15/18,535.98
  6. Step 6: Final answer
    x = 15,162.38

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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.