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Finding the Fourth Proportional to 23,809.28, 32,854.60 and 13,198.01

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Solution

The fourth proportional to 23,809.28, 32,854.60 and 13,198.01 is: 18,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.28 : 32,854.60 = 13,198.01 : x
  2. Step 2: Convert to fraction form
    23,809.28/32,854.60 = 13,198.01/x
  3. Step 3: Cross multiply
    23,809.28x = 32,854.60 × 13,198.01
  4. Step 4: Simplify right side
    23,809.28x = 433,615,339.35
  5. Step 5: Solve for x
    x = 433,615,339.35/23,809.28
  6. Step 6: Final answer
    x = 18,212.03

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