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Finding the Fourth Proportional to 28,855.28, 39,821.49 and 16,280

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Solution

The fourth proportional to 28,855.28, 39,821.49 and 16,280 is: 22,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,855.28 : 39,821.49 = 16,280 : x
  2. Step 2: Convert to fraction form
    28,855.28/39,821.49 = 16,280/x
  3. Step 3: Cross multiply
    28,855.28x = 39,821.49 × 16,280
  4. Step 4: Simplify right side
    28,855.28x = 648,293,857.20
  5. Step 5: Solve for x
    x = 648,293,857.20/28,855.28
  6. Step 6: Final answer
    x = 22,467.08

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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.