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Finding the Fourth Proportional to 17,780.38, 24,536.46 and 9,821.32

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Solution

The fourth proportional to 17,780.38, 24,536.46 and 9,821.32 is: 13,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.38 : 24,536.46 = 9,821.32 : x
  2. Step 2: Convert to fraction form
    17,780.38/24,536.46 = 9,821.32/x
  3. Step 3: Cross multiply
    17,780.38x = 24,536.46 × 9,821.32
  4. Step 4: Simplify right side
    17,780.38x = 240,980,425.33
  5. Step 5: Solve for x
    x = 240,980,425.33/17,780.38
  6. Step 6: Final answer
    x = 13,553.17

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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.