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Finding the Fourth Proportional to 17,800.29, 24,561.77 and 9,842.85

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Solution

The fourth proportional to 17,800.29, 24,561.77 and 9,842.85 is: 13,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.29 : 24,561.77 = 9,842.85 : x
  2. Step 2: Convert to fraction form
    17,800.29/24,561.77 = 9,842.85/x
  3. Step 3: Cross multiply
    17,800.29x = 24,561.77 × 9,842.85
  4. Step 4: Simplify right side
    17,800.29x = 241,757,768.63
  5. Step 5: Solve for x
    x = 241,757,768.63/17,800.29
  6. Step 6: Final answer
    x = 13,581.68

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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.