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Finding the Fourth Proportional to 17,502.81, 26,243.61 and 6,974.43

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Solution

The fourth proportional to 17,502.81, 26,243.61 and 6,974.43 is: 10,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502.81 : 26,243.61 = 6,974.43 : x
  2. Step 2: Convert to fraction form
    17,502.81/26,243.61 = 6,974.43/x
  3. Step 3: Cross multiply
    17,502.81x = 26,243.61 × 6,974.43
  4. Step 4: Simplify right side
    17,502.81x = 183,034,220.89
  5. Step 5: Solve for x
    x = 183,034,220.89/17,502.81
  6. Step 6: Final answer
    x = 10,457.42

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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.