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Finding the Fourth Proportional to 17,676.72, 24,394.46 and 9,719.55

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Solution

The fourth proportional to 17,676.72, 24,394.46 and 9,719.55 is: 13,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.72 : 24,394.46 = 9,719.55 : x
  2. Step 2: Convert to fraction form
    17,676.72/24,394.46 = 9,719.55/x
  3. Step 3: Cross multiply
    17,676.72x = 24,394.46 × 9,719.55
  4. Step 4: Simplify right side
    17,676.72x = 237,103,125.10
  5. Step 5: Solve for x
    x = 237,103,125.10/17,676.72
  6. Step 6: Final answer
    x = 13,413.30

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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.