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Finding the Fourth Proportional to 13,121.40, 19,682.10 and 10,205.40

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Solution

The fourth proportional to 13,121.40, 19,682.10 and 10,205.40 is: 15,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.40 : 19,682.10 = 10,205.40 : x
  2. Step 2: Convert to fraction form
    13,121.40/19,682.10 = 10,205.40/x
  3. Step 3: Cross multiply
    13,121.40x = 19,682.10 × 10,205.40
  4. Step 4: Simplify right side
    13,121.40x = 200,863,703.34
  5. Step 5: Solve for x
    x = 200,863,703.34/13,121.40
  6. Step 6: Final answer
    x = 15,308.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.