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Finding the Fourth Proportional to 12,786.72, 17,646.48 and 7,198.08

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Solution

The fourth proportional to 12,786.72, 17,646.48 and 7,198.08 is: 9,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.72 : 17,646.48 = 7,198.08 : x
  2. Step 2: Convert to fraction form
    12,786.72/17,646.48 = 7,198.08/x
  3. Step 3: Cross multiply
    12,786.72x = 17,646.48 × 7,198.08
  4. Step 4: Simplify right side
    12,786.72x = 127,020,774.76
  5. Step 5: Solve for x
    x = 127,020,774.76/12,786.72
  6. Step 6: Final answer
    x = 9,933.80

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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.