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Finding the Fourth Proportional to 14,493.94, 20,001.63 and 8,206.31

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Solution

The fourth proportional to 14,493.94, 20,001.63 and 8,206.31 is: 11,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.94 : 20,001.63 = 8,206.31 : x
  2. Step 2: Convert to fraction form
    14,493.94/20,001.63 = 8,206.31/x
  3. Step 3: Cross multiply
    14,493.94x = 20,001.63 × 8,206.31
  4. Step 4: Simplify right side
    14,493.94x = 164,139,657.06
  5. Step 5: Solve for x
    x = 164,139,657.06/14,493.94
  6. Step 6: Final answer
    x = 11,324.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.