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Finding the Fourth Proportional to 14,697.82, 20,284.01 and 8,324.34

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Solution

The fourth proportional to 14,697.82, 20,284.01 and 8,324.34 is: 11,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.82 : 20,284.01 = 8,324.34 : x
  2. Step 2: Convert to fraction form
    14,697.82/20,284.01 = 8,324.34/x
  3. Step 3: Cross multiply
    14,697.82x = 20,284.01 × 8,324.34
  4. Step 4: Simplify right side
    14,697.82x = 168,850,995.80
  5. Step 5: Solve for x
    x = 168,850,995.80/14,697.82
  6. Step 6: Final answer
    x = 11,488.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.