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Finding the Fourth Proportional to 17,474.47, 24,114 and 9,516.22

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Solution

The fourth proportional to 17,474.47, 24,114 and 9,516.22 is: 13,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.47 : 24,114 = 9,516.22 : x
  2. Step 2: Convert to fraction form
    17,474.47/24,114 = 9,516.22/x
  3. Step 3: Cross multiply
    17,474.47x = 24,114 × 9,516.22
  4. Step 4: Simplify right side
    17,474.47x = 229,474,129.08
  5. Step 5: Solve for x
    x = 229,474,129.08/17,474.47
  6. Step 6: Final answer
    x = 13,131.97

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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.