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Finding the Fourth Proportional to 23,809.68, 32,857.02 and 13,199.08

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Solution

The fourth proportional to 23,809.68, 32,857.02 and 13,199.08 is: 18,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.68 : 32,857.02 = 13,199.08 : x
  2. Step 2: Convert to fraction form
    23,809.68/32,857.02 = 13,199.08/x
  3. Step 3: Cross multiply
    23,809.68x = 32,857.02 × 13,199.08
  4. Step 4: Simplify right side
    23,809.68x = 433,682,435.54
  5. Step 5: Solve for x
    x = 433,682,435.54/23,809.68
  6. Step 6: Final answer
    x = 18,214.54

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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.