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Finding the Fourth Proportional to 21,827.40, 32,789.70 and 20,941.80

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Solution

The fourth proportional to 21,827.40, 32,789.70 and 20,941.80 is: 31,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.40 : 32,789.70 = 20,941.80 : x
  2. Step 2: Convert to fraction form
    21,827.40/32,789.70 = 20,941.80/x
  3. Step 3: Cross multiply
    21,827.40x = 32,789.70 × 20,941.80
  4. Step 4: Simplify right side
    21,827.40x = 686,675,339.46
  5. Step 5: Solve for x
    x = 686,675,339.46/21,827.40
  6. Step 6: Final answer
    x = 31,459.33

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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.