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Finding the Fourth Proportional to 16,678.16, 24,995.88 and 6,806

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Solution

The fourth proportional to 16,678.16, 24,995.88 and 6,806 is: 10,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.16 : 24,995.88 = 6,806 : x
  2. Step 2: Convert to fraction form
    16,678.16/24,995.88 = 6,806/x
  3. Step 3: Cross multiply
    16,678.16x = 24,995.88 × 6,806
  4. Step 4: Simplify right side
    16,678.16x = 170,121,959.28
  5. Step 5: Solve for x
    x = 170,121,959.28/16,678.16
  6. Step 6: Final answer
    x = 10,200.28

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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.