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Finding the Fourth Proportional to 17,821.85, 24,593.02 and 9,864.07

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Solution

The fourth proportional to 17,821.85, 24,593.02 and 9,864.07 is: 13,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.85 : 24,593.02 = 9,864.07 : x
  2. Step 2: Convert to fraction form
    17,821.85/24,593.02 = 9,864.07/x
  3. Step 3: Cross multiply
    17,821.85x = 24,593.02 × 9,864.07
  4. Step 4: Simplify right side
    17,821.85x = 242,587,184.65
  5. Step 5: Solve for x
    x = 242,587,184.65/17,821.85
  6. Step 6: Final answer
    x = 13,611.79

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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.