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Finding the Fourth Proportional to 17,780.89, 24,537.54 and 9,823.11

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Solution

The fourth proportional to 17,780.89, 24,537.54 and 9,823.11 is: 13,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.89 : 24,537.54 = 9,823.11 : x
  2. Step 2: Convert to fraction form
    17,780.89/24,537.54 = 9,823.11/x
  3. Step 3: Cross multiply
    17,780.89x = 24,537.54 × 9,823.11
  4. Step 4: Simplify right side
    17,780.89x = 241,034,954.55
  5. Step 5: Solve for x
    x = 241,034,954.55/17,780.89
  6. Step 6: Final answer
    x = 13,555.84

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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.