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Finding the Fourth Proportional to 13,675.40, 20,516.10 and 5,355.40

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Solution

The fourth proportional to 13,675.40, 20,516.10 and 5,355.40 is: 8,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.40 : 20,516.10 = 5,355.40 : x
  2. Step 2: Convert to fraction form
    13,675.40/20,516.10 = 5,355.40/x
  3. Step 3: Cross multiply
    13,675.40x = 20,516.10 × 5,355.40
  4. Step 4: Simplify right side
    13,675.40x = 109,871,921.94
  5. Step 5: Solve for x
    x = 109,871,921.94/13,675.40
  6. Step 6: Final answer
    x = 8,034.27

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Why These Related Problems?

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