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Finding the Fourth Proportional to 16,880.69, 25,326.50 and 8,114.46

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Solution

The fourth proportional to 16,880.69, 25,326.50 and 8,114.46 is: 12,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,880.69 : 25,326.50 = 8,114.46 : x
  2. Step 2: Convert to fraction form
    16,880.69/25,326.50 = 8,114.46/x
  3. Step 3: Cross multiply
    16,880.69x = 25,326.50 × 8,114.46
  4. Step 4: Simplify right side
    16,880.69x = 205,510,830.62
  5. Step 5: Solve for x
    x = 205,510,830.62/16,880.69
  6. Step 6: Final answer
    x = 12,174.32

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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.