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Finding the Fourth Proportional to 13,348.34, 18,419.64 and 7,682.80

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Solution

The fourth proportional to 13,348.34, 18,419.64 and 7,682.80 is: 10,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.34 : 18,419.64 = 7,682.80 : x
  2. Step 2: Convert to fraction form
    13,348.34/18,419.64 = 7,682.80/x
  3. Step 3: Cross multiply
    13,348.34x = 18,419.64 × 7,682.80
  4. Step 4: Simplify right side
    13,348.34x = 141,514,318.09
  5. Step 5: Solve for x
    x = 141,514,318.09/13,348.34
  6. Step 6: Final answer
    x = 10,601.64

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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.