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Finding the Fourth Proportional to 16,280.25, 22,466.76 and 8,828.25

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Solution

The fourth proportional to 16,280.25, 22,466.76 and 8,828.25 is: 12,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.25 : 22,466.76 = 8,828.25 : x
  2. Step 2: Convert to fraction form
    16,280.25/22,466.76 = 8,828.25/x
  3. Step 3: Cross multiply
    16,280.25x = 22,466.76 × 8,828.25
  4. Step 4: Simplify right side
    16,280.25x = 198,342,173.97
  5. Step 5: Solve for x
    x = 198,342,173.97/16,280.25
  6. Step 6: Final answer
    x = 12,182.99

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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.