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Finding the Fourth Proportional to 25,279.86, 37,914.03 and 6,813.30

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Solution

The fourth proportional to 25,279.86, 37,914.03 and 6,813.30 is: 10,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,279.86 : 37,914.03 = 6,813.30 : x
  2. Step 2: Convert to fraction form
    25,279.86/37,914.03 = 6,813.30/x
  3. Step 3: Cross multiply
    25,279.86x = 37,914.03 × 6,813.30
  4. Step 4: Simplify right side
    25,279.86x = 258,319,660.60
  5. Step 5: Solve for x
    x = 258,319,660.60/25,279.86
  6. Step 6: Final answer
    x = 10,218.40

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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.