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Finding the Fourth Proportional to 25,364.70, 38,052.45 and 7,836.30

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Solution

The fourth proportional to 25,364.70, 38,052.45 and 7,836.30 is: 11,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.70 : 38,052.45 = 7,836.30 : x
  2. Step 2: Convert to fraction form
    25,364.70/38,052.45 = 7,836.30/x
  3. Step 3: Cross multiply
    25,364.70x = 38,052.45 × 7,836.30
  4. Step 4: Simplify right side
    25,364.70x = 298,190,413.94
  5. Step 5: Solve for x
    x = 298,190,413.94/25,364.70
  6. Step 6: Final answer
    x = 11,756.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.