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Finding the Fourth Proportional to 17,343, 26,008.32 and 6,246.68

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Solution

The fourth proportional to 17,343, 26,008.32 and 6,246.68 is: 9,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,343 : 26,008.32 = 6,246.68 : x
  2. Step 2: Convert to fraction form
    17,343/26,008.32 = 6,246.68/x
  3. Step 3: Cross multiply
    17,343x = 26,008.32 × 6,246.68
  4. Step 4: Simplify right side
    17,343x = 162,465,652.38
  5. Step 5: Solve for x
    x = 162,465,652.38/17,343
  6. Step 6: Final answer
    x = 9,367.79

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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.