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Finding the Fourth Proportional to 23,800.17, 32,843.73 and 13,189.71

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Solution

The fourth proportional to 23,800.17, 32,843.73 and 13,189.71 is: 18,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.17 : 32,843.73 = 13,189.71 : x
  2. Step 2: Convert to fraction form
    23,800.17/32,843.73 = 13,189.71/x
  3. Step 3: Cross multiply
    23,800.17x = 32,843.73 × 13,189.71
  4. Step 4: Simplify right side
    23,800.17x = 433,199,274.02
  5. Step 5: Solve for x
    x = 433,199,274.02/23,800.17
  6. Step 6: Final answer
    x = 18,201.52

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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.