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Finding the Fourth Proportional to 23,804.30, 32,849.43 and 13,193.84

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Solution

The fourth proportional to 23,804.30, 32,849.43 and 13,193.84 is: 18,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.30 : 32,849.43 = 13,193.84 : x
  2. Step 2: Convert to fraction form
    23,804.30/32,849.43 = 13,193.84/x
  3. Step 3: Cross multiply
    23,804.30x = 32,849.43 × 13,193.84
  4. Step 4: Simplify right side
    23,804.30x = 433,410,123.51
  5. Step 5: Solve for x
    x = 433,410,123.51/23,804.30
  6. Step 6: Final answer
    x = 18,207.22

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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.