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Finding the Fourth Proportional to 13,414.90, 20,122.35 and 4,180.90

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Solution

The fourth proportional to 13,414.90, 20,122.35 and 4,180.90 is: 6,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.90 : 20,122.35 = 4,180.90 : x
  2. Step 2: Convert to fraction form
    13,414.90/20,122.35 = 4,180.90/x
  3. Step 3: Cross multiply
    13,414.90x = 20,122.35 × 4,180.90
  4. Step 4: Simplify right side
    13,414.90x = 84,129,533.12
  5. Step 5: Solve for x
    x = 84,129,533.12/13,414.90
  6. Step 6: Final answer
    x = 6,271.35

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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.