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Finding the Fourth Proportional to 12,779.66, 17,631.86 and 7,189.58

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Solution

The fourth proportional to 12,779.66, 17,631.86 and 7,189.58 is: 9,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.66 : 17,631.86 = 7,189.58 : x
  2. Step 2: Convert to fraction form
    12,779.66/17,631.86 = 7,189.58/x
  3. Step 3: Cross multiply
    12,779.66x = 17,631.86 × 7,189.58
  4. Step 4: Simplify right side
    12,779.66x = 126,765,668.02
  5. Step 5: Solve for x
    x = 126,765,668.02/12,779.66
  6. Step 6: Final answer
    x = 9,919.33

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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.