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Finding the Fourth Proportional to 16,456.98, 24,680.76 and 5,364.64

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Solution

The fourth proportional to 16,456.98, 24,680.76 and 5,364.64 is: 8,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.98 : 24,680.76 = 5,364.64 : x
  2. Step 2: Convert to fraction form
    16,456.98/24,680.76 = 5,364.64/x
  3. Step 3: Cross multiply
    16,456.98x = 24,680.76 × 5,364.64
  4. Step 4: Simplify right side
    16,456.98x = 132,403,310.51
  5. Step 5: Solve for x
    x = 132,403,310.51/16,456.98
  6. Step 6: Final answer
    x = 8,045.42

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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.