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Finding the Fourth Proportional to 17,542.05, 24,206.85 and 9,582.63

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Solution

The fourth proportional to 17,542.05, 24,206.85 and 9,582.63 is: 13,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.05 : 24,206.85 = 9,582.63 : x
  2. Step 2: Convert to fraction form
    17,542.05/24,206.85 = 9,582.63/x
  3. Step 3: Cross multiply
    17,542.05x = 24,206.85 × 9,582.63
  4. Step 4: Simplify right side
    17,542.05x = 231,965,287.02
  5. Step 5: Solve for x
    x = 231,965,287.02/17,542.05
  6. Step 6: Final answer
    x = 13,223.39

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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.