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Finding the Fourth Proportional to 17,782.29, 24,537.47 and 9,824.04

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Solution

The fourth proportional to 17,782.29, 24,537.47 and 9,824.04 is: 13,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.29 : 24,537.47 = 9,824.04 : x
  2. Step 2: Convert to fraction form
    17,782.29/24,537.47 = 9,824.04/x
  3. Step 3: Cross multiply
    17,782.29x = 24,537.47 × 9,824.04
  4. Step 4: Simplify right side
    17,782.29x = 241,057,074.50
  5. Step 5: Solve for x
    x = 241,057,074.50/17,782.29
  6. Step 6: Final answer
    x = 13,556.02

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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.