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Finding the Fourth Proportional to 17,423.34, 24,044.14 and 9,465.49

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Solution

The fourth proportional to 17,423.34, 24,044.14 and 9,465.49 is: 13,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,423.34 : 24,044.14 = 9,465.49 : x
  2. Step 2: Convert to fraction form
    17,423.34/24,044.14 = 9,465.49/x
  3. Step 3: Cross multiply
    17,423.34x = 24,044.14 × 9,465.49
  4. Step 4: Simplify right side
    17,423.34x = 227,589,608.62
  5. Step 5: Solve for x
    x = 227,589,608.62/17,423.34
  6. Step 6: Final answer
    x = 13,062.34

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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.