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Finding the Fourth Proportional to 13,454.07, 20,184.33 and 4,220.07

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Solution

The fourth proportional to 13,454.07, 20,184.33 and 4,220.07 is: 6,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.07 : 20,184.33 = 4,220.07 : x
  2. Step 2: Convert to fraction form
    13,454.07/20,184.33 = 4,220.07/x
  3. Step 3: Cross multiply
    13,454.07x = 20,184.33 × 4,220.07
  4. Step 4: Simplify right side
    13,454.07x = 85,179,285.50
  5. Step 5: Solve for x
    x = 85,179,285.50/13,454.07
  6. Step 6: Final answer
    x = 6,331.12

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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.