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Finding the Fourth Proportional to 16,846.74, 25,276.66 and 6,983.50

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Solution

The fourth proportional to 16,846.74, 25,276.66 and 6,983.50 is: 10,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.74 : 25,276.66 = 6,983.50 : x
  2. Step 2: Convert to fraction form
    16,846.74/25,276.66 = 6,983.50/x
  3. Step 3: Cross multiply
    16,846.74x = 25,276.66 × 6,983.50
  4. Step 4: Simplify right side
    16,846.74x = 176,519,555.11
  5. Step 5: Solve for x
    x = 176,519,555.11/16,846.74
  6. Step 6: Final answer
    x = 10,477.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.