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Finding the Fourth Proportional to 17,760.72, 24,511.40 and 10,686

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Solution

The fourth proportional to 17,760.72, 24,511.40 and 10,686 is: 14,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.72 : 24,511.40 = 10,686 : x
  2. Step 2: Convert to fraction form
    17,760.72/24,511.40 = 10,686/x
  3. Step 3: Cross multiply
    17,760.72x = 24,511.40 × 10,686
  4. Step 4: Simplify right side
    17,760.72x = 261,928,820.40
  5. Step 5: Solve for x
    x = 261,928,820.40/17,760.72
  6. Step 6: Final answer
    x = 14,747.65

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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.