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Finding the Fourth Proportional to 21,857.40, 32,810.40 and 13,546.80

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Solution

The fourth proportional to 21,857.40, 32,810.40 and 13,546.80 is: 20,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.40 : 32,810.40 = 13,546.80 : x
  2. Step 2: Convert to fraction form
    21,857.40/32,810.40 = 13,546.80/x
  3. Step 3: Cross multiply
    21,857.40x = 32,810.40 × 13,546.80
  4. Step 4: Simplify right side
    21,857.40x = 444,475,926.72
  5. Step 5: Solve for x
    x = 444,475,926.72/21,857.40
  6. Step 6: Final answer
    x = 20,335.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.