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Finding the Fourth Proportional to 17,777.48, 24,530.82 and 9,819.23

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Solution

The fourth proportional to 17,777.48, 24,530.82 and 9,819.23 is: 13,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.48 : 24,530.82 = 9,819.23 : x
  2. Step 2: Convert to fraction form
    17,777.48/24,530.82 = 9,819.23/x
  3. Step 3: Cross multiply
    17,777.48x = 24,530.82 × 9,819.23
  4. Step 4: Simplify right side
    17,777.48x = 240,873,763.67
  5. Step 5: Solve for x
    x = 240,873,763.67/17,777.48
  6. Step 6: Final answer
    x = 13,549.38

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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.