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Finding the Fourth Proportional to 12,645.86, 17,451.34 and 6,980.66

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Solution

The fourth proportional to 12,645.86, 17,451.34 and 6,980.66 is: 9,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.86 : 17,451.34 = 6,980.66 : x
  2. Step 2: Convert to fraction form
    12,645.86/17,451.34 = 6,980.66/x
  3. Step 3: Cross multiply
    12,645.86x = 17,451.34 × 6,980.66
  4. Step 4: Simplify right side
    12,645.86x = 121,821,871.08
  5. Step 5: Solve for x
    x = 121,821,871.08/12,645.86
  6. Step 6: Final answer
    x = 9,633.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.