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Finding the Fourth Proportional to 14,489.63, 19,995.68 and 8,202

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Solution

The fourth proportional to 14,489.63, 19,995.68 and 8,202 is: 11,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.63 : 19,995.68 = 8,202 : x
  2. Step 2: Convert to fraction form
    14,489.63/19,995.68 = 8,202/x
  3. Step 3: Cross multiply
    14,489.63x = 19,995.68 × 8,202
  4. Step 4: Simplify right side
    14,489.63x = 164,004,587.87
  5. Step 5: Solve for x
    x = 164,004,587.87/14,489.63
  6. Step 6: Final answer
    x = 11,318.76

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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.