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Finding the Fourth Proportional to 21,428.80, 32,143.20 and 16,244.80

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Solution

The fourth proportional to 21,428.80, 32,143.20 and 16,244.80 is: 24,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428.80 : 32,143.20 = 16,244.80 : x
  2. Step 2: Convert to fraction form
    21,428.80/32,143.20 = 16,244.80/x
  3. Step 3: Cross multiply
    21,428.80x = 32,143.20 × 16,244.80
  4. Step 4: Simplify right side
    21,428.80x = 522,159,855.36
  5. Step 5: Solve for x
    x = 522,159,855.36/21,428.80
  6. Step 6: Final answer
    x = 24,367.20

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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.