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Finding the Fourth Proportional to 17,634, 26,457.66 and 9,313.68

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Solution

The fourth proportional to 17,634, 26,457.66 and 9,313.68 is: 13,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634 : 26,457.66 = 9,313.68 : x
  2. Step 2: Convert to fraction form
    17,634/26,457.66 = 9,313.68/x
  3. Step 3: Cross multiply
    17,634x = 26,457.66 × 9,313.68
  4. Step 4: Simplify right side
    17,634x = 246,418,178.79
  5. Step 5: Solve for x
    x = 246,418,178.79/17,634
  6. Step 6: Final answer
    x = 13,974.04

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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.