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Finding the Fourth Proportional to 14,652.09, 21,984.21 and 8,077.73

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Solution

The fourth proportional to 14,652.09, 21,984.21 and 8,077.73 is: 12,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.09 : 21,984.21 = 8,077.73 : x
  2. Step 2: Convert to fraction form
    14,652.09/21,984.21 = 8,077.73/x
  3. Step 3: Cross multiply
    14,652.09x = 21,984.21 × 8,077.73
  4. Step 4: Simplify right side
    14,652.09x = 177,582,402.72
  5. Step 5: Solve for x
    x = 177,582,402.72/14,652.09
  6. Step 6: Final answer
    x = 12,119.94

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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.