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Finding the Fourth Proportional to 23,798.68, 32,844.14 and 13,189.30

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Solution

The fourth proportional to 23,798.68, 32,844.14 and 13,189.30 is: 18,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.68 : 32,844.14 = 13,189.30 : x
  2. Step 2: Convert to fraction form
    23,798.68/32,844.14 = 13,189.30/x
  3. Step 3: Cross multiply
    23,798.68x = 32,844.14 × 13,189.30
  4. Step 4: Simplify right side
    23,798.68x = 433,191,215.70
  5. Step 5: Solve for x
    x = 433,191,215.70/23,798.68
  6. Step 6: Final answer
    x = 18,202.32

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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.