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Finding the Fourth Proportional to 12,573.50, 18,867.74 and 4,674.71

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Solution

The fourth proportional to 12,573.50, 18,867.74 and 4,674.71 is: 7,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.50 : 18,867.74 = 4,674.71 : x
  2. Step 2: Convert to fraction form
    12,573.50/18,867.74 = 4,674.71/x
  3. Step 3: Cross multiply
    12,573.50x = 18,867.74 × 4,674.71
  4. Step 4: Simplify right side
    12,573.50x = 88,201,236.65
  5. Step 5: Solve for x
    x = 88,201,236.65/12,573.50
  6. Step 6: Final answer
    x = 7,014.85

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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.