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Finding the Fourth Proportional to 13,645.26, 20,460.97 and 6,980.74

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Solution

The fourth proportional to 13,645.26, 20,460.97 and 6,980.74 is: 10,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.26 : 20,460.97 = 6,980.74 : x
  2. Step 2: Convert to fraction form
    13,645.26/20,460.97 = 6,980.74/x
  3. Step 3: Cross multiply
    13,645.26x = 20,460.97 × 6,980.74
  4. Step 4: Simplify right side
    13,645.26x = 142,832,711.72
  5. Step 5: Solve for x
    x = 142,832,711.72/13,645.26
  6. Step 6: Final answer
    x = 10,467.57

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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.