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Finding the Fourth Proportional to 23,808.94, 32,858.29 and 13,202.02

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Solution

The fourth proportional to 23,808.94, 32,858.29 and 13,202.02 is: 18,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.94 : 32,858.29 = 13,202.02 : x
  2. Step 2: Convert to fraction form
    23,808.94/32,858.29 = 13,202.02/x
  3. Step 3: Cross multiply
    23,808.94x = 32,858.29 × 13,202.02
  4. Step 4: Simplify right side
    23,808.94x = 433,795,801.75
  5. Step 5: Solve for x
    x = 433,795,801.75/23,808.94
  6. Step 6: Final answer
    x = 18,219.87

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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.