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Finding the Fourth Proportional to 23,801.80, 32,846.40 and 13,191.44

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Solution

The fourth proportional to 23,801.80, 32,846.40 and 13,191.44 is: 18,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,801.80 : 32,846.40 = 13,191.44 : x
  2. Step 2: Convert to fraction form
    23,801.80/32,846.40 = 13,191.44/x
  3. Step 3: Cross multiply
    23,801.80x = 32,846.40 × 13,191.44
  4. Step 4: Simplify right side
    23,801.80x = 433,291,314.82
  5. Step 5: Solve for x
    x = 433,291,314.82/23,801.80
  6. Step 6: Final answer
    x = 18,204.14

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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.