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Finding the Fourth Proportional to 14,014.20, 20,978.10 and 8,153.40

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Solution

The fourth proportional to 14,014.20, 20,978.10 and 8,153.40 is: 12,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.20 : 20,978.10 = 8,153.40 : x
  2. Step 2: Convert to fraction form
    14,014.20/20,978.10 = 8,153.40/x
  3. Step 3: Cross multiply
    14,014.20x = 20,978.10 × 8,153.40
  4. Step 4: Simplify right side
    14,014.20x = 171,042,840.54
  5. Step 5: Solve for x
    x = 171,042,840.54/14,014.20
  6. Step 6: Final answer
    x = 12,204.97

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1.5x scale

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.