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Finding the Fourth Proportional to 18,096.63, 24,973.41 and 11,809

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Solution

The fourth proportional to 18,096.63, 24,973.41 and 11,809 is: 16,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096.63 : 24,973.41 = 11,809 : x
  2. Step 2: Convert to fraction form
    18,096.63/24,973.41 = 11,809/x
  3. Step 3: Cross multiply
    18,096.63x = 24,973.41 × 11,809
  4. Step 4: Simplify right side
    18,096.63x = 294,910,998.69
  5. Step 5: Solve for x
    x = 294,910,998.69/18,096.63
  6. Step 6: Final answer
    x = 16,296.46

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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.