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Finding the Fourth Proportional to 17,204, 23,741.52 and 9,752

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Solution

The fourth proportional to 17,204, 23,741.52 and 9,752 is: 13,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204 : 23,741.52 = 9,752 : x
  2. Step 2: Convert to fraction form
    17,204/23,741.52 = 9,752/x
  3. Step 3: Cross multiply
    17,204x = 23,741.52 × 9,752
  4. Step 4: Simplify right side
    17,204x = 231,527,303.04
  5. Step 5: Solve for x
    x = 231,527,303.04/17,204
  6. Step 6: Final answer
    x = 13,457.76

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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.