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Finding the Fourth Proportional to 12,645.84, 17,451.62 and 6,980.92

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Solution

The fourth proportional to 12,645.84, 17,451.62 and 6,980.92 is: 9,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.84 : 17,451.62 = 6,980.92 : x
  2. Step 2: Convert to fraction form
    12,645.84/17,451.62 = 6,980.92/x
  3. Step 3: Cross multiply
    12,645.84x = 17,451.62 × 6,980.92
  4. Step 4: Simplify right side
    12,645.84x = 121,828,363.09
  5. Step 5: Solve for x
    x = 121,828,363.09/12,645.84
  6. Step 6: Final answer
    x = 9,633.87

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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.