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Finding the Fourth Proportional to 12,646.13, 17,451.35 and 6,980.85

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Solution

The fourth proportional to 12,646.13, 17,451.35 and 6,980.85 is: 9,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.13 : 17,451.35 = 6,980.85 : x
  2. Step 2: Convert to fraction form
    12,646.13/17,451.35 = 6,980.85/x
  3. Step 3: Cross multiply
    12,646.13x = 17,451.35 × 6,980.85
  4. Step 4: Simplify right side
    12,646.13x = 121,825,221.74
  5. Step 5: Solve for x
    x = 121,825,221.74/12,646.13
  6. Step 6: Final answer
    x = 9,633.40

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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.