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Finding the Fourth Proportional to 17,781.08, 24,536.58 and 9,821.84

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Solution

The fourth proportional to 17,781.08, 24,536.58 and 9,821.84 is: 13,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.08 : 24,536.58 = 9,821.84 : x
  2. Step 2: Convert to fraction form
    17,781.08/24,536.58 = 9,821.84/x
  3. Step 3: Cross multiply
    17,781.08x = 24,536.58 × 9,821.84
  4. Step 4: Simplify right side
    17,781.08x = 240,994,362.91
  5. Step 5: Solve for x
    x = 240,994,362.91/17,781.08
  6. Step 6: Final answer
    x = 13,553.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.