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Finding the Fourth Proportional to 17,780.57, 24,536.52 and 9,822.62

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Solution

The fourth proportional to 17,780.57, 24,536.52 and 9,822.62 is: 13,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.57 : 24,536.52 = 9,822.62 : x
  2. Step 2: Convert to fraction form
    17,780.57/24,536.52 = 9,822.62/x
  3. Step 3: Cross multiply
    17,780.57x = 24,536.52 × 9,822.62
  4. Step 4: Simplify right side
    17,780.57x = 241,012,912.08
  5. Step 5: Solve for x
    x = 241,012,912.08/17,780.57
  6. Step 6: Final answer
    x = 13,554.85

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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.