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Finding the Fourth Proportional to 13,549.11, 18,704.16 and 10,193.20

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Solution

The fourth proportional to 13,549.11, 18,704.16 and 10,193.20 is: 14,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.11 : 18,704.16 = 10,193.20 : x
  2. Step 2: Convert to fraction form
    13,549.11/18,704.16 = 10,193.20/x
  3. Step 3: Cross multiply
    13,549.11x = 18,704.16 × 10,193.20
  4. Step 4: Simplify right side
    13,549.11x = 190,655,243.71
  5. Step 5: Solve for x
    x = 190,655,243.71/13,549.11
  6. Step 6: Final answer
    x = 14,071.42

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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.