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Finding the Fourth Proportional to 13,412.40, 20,104.20 and 5,089.20

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Solution

The fourth proportional to 13,412.40, 20,104.20 and 5,089.20 is: 7,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.40 : 20,104.20 = 5,089.20 : x
  2. Step 2: Convert to fraction form
    13,412.40/20,104.20 = 5,089.20/x
  3. Step 3: Cross multiply
    13,412.40x = 20,104.20 × 5,089.20
  4. Step 4: Simplify right side
    13,412.40x = 102,314,294.64
  5. Step 5: Solve for x
    x = 102,314,294.64/13,412.40
  6. Step 6: Final answer
    x = 7,628.34

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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.