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Finding the Fourth Proportional to 13,498.34, 18,629.67 and 8,729.43

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Solution

The fourth proportional to 13,498.34, 18,629.67 and 8,729.43 is: 12,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.34 : 18,629.67 = 8,729.43 : x
  2. Step 2: Convert to fraction form
    13,498.34/18,629.67 = 8,729.43/x
  3. Step 3: Cross multiply
    13,498.34x = 18,629.67 × 8,729.43
  4. Step 4: Simplify right side
    13,498.34x = 162,626,400.19
  5. Step 5: Solve for x
    x = 162,626,400.19/13,498.34
  6. Step 6: Final answer
    x = 12,047.89

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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.