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Finding the Fourth Proportional to 25,211.50, 37,813.89 and 8,570.86

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Solution

The fourth proportional to 25,211.50, 37,813.89 and 8,570.86 is: 12,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211.50 : 37,813.89 = 8,570.86 : x
  2. Step 2: Convert to fraction form
    25,211.50/37,813.89 = 8,570.86/x
  3. Step 3: Cross multiply
    25,211.50x = 37,813.89 × 8,570.86
  4. Step 4: Simplify right side
    25,211.50x = 324,097,557.25
  5. Step 5: Solve for x
    x = 324,097,557.25/25,211.50
  6. Step 6: Final answer
    x = 12,855.15

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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.