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Finding the Fourth Proportional to 16,846.80, 25,265.36 and 6,456.16

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Solution

The fourth proportional to 16,846.80, 25,265.36 and 6,456.16 is: 9,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.80 : 25,265.36 = 6,456.16 : x
  2. Step 2: Convert to fraction form
    16,846.80/25,265.36 = 6,456.16/x
  3. Step 3: Cross multiply
    16,846.80x = 25,265.36 × 6,456.16
  4. Step 4: Simplify right side
    16,846.80x = 163,117,206.62
  5. Step 5: Solve for x
    x = 163,117,206.62/16,846.80
  6. Step 6: Final answer
    x = 9,682.39

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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.