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Finding the Fourth Proportional to 13,422.75, 20,137.70 and 4,657.65

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Solution

The fourth proportional to 13,422.75, 20,137.70 and 4,657.65 is: 6,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.75 : 20,137.70 = 4,657.65 : x
  2. Step 2: Convert to fraction form
    13,422.75/20,137.70 = 4,657.65/x
  3. Step 3: Cross multiply
    13,422.75x = 20,137.70 × 4,657.65
  4. Step 4: Simplify right side
    13,422.75x = 93,794,358.41
  5. Step 5: Solve for x
    x = 93,794,358.41/13,422.75
  6. Step 6: Final answer
    x = 6,987.72

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