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Finding the Fourth Proportional to 13,029.12, 17,986.39 and 8,729.62

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Solution

The fourth proportional to 13,029.12, 17,986.39 and 8,729.62 is: 12,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.12 : 17,986.39 = 8,729.62 : x
  2. Step 2: Convert to fraction form
    13,029.12/17,986.39 = 8,729.62/x
  3. Step 3: Cross multiply
    13,029.12x = 17,986.39 × 8,729.62
  4. Step 4: Simplify right side
    13,029.12x = 157,014,216.29
  5. Step 5: Solve for x
    x = 157,014,216.29/13,029.12
  6. Step 6: Final answer
    x = 12,051.02

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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.