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Finding the Fourth Proportional to 17,780.77, 24,537.68 and 9,823.73

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Solution

The fourth proportional to 17,780.77, 24,537.68 and 9,823.73 is: 13,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.77 : 24,537.68 = 9,823.73 : x
  2. Step 2: Convert to fraction form
    17,780.77/24,537.68 = 9,823.73/x
  3. Step 3: Cross multiply
    17,780.77x = 24,537.68 × 9,823.73
  4. Step 4: Simplify right side
    17,780.77x = 241,051,601.46
  5. Step 5: Solve for x
    x = 241,051,601.46/17,780.77
  6. Step 6: Final answer
    x = 13,556.87

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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.