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Finding the Fourth Proportional to 17,847.38, 24,629.09 and 9,780.98

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Solution

The fourth proportional to 17,847.38, 24,629.09 and 9,780.98 is: 13,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.38 : 24,629.09 = 9,780.98 : x
  2. Step 2: Convert to fraction form
    17,847.38/24,629.09 = 9,780.98/x
  3. Step 3: Cross multiply
    17,847.38x = 24,629.09 × 9,780.98
  4. Step 4: Simplify right side
    17,847.38x = 240,896,538.02
  5. Step 5: Solve for x
    x = 240,896,538.02/17,847.38
  6. Step 6: Final answer
    x = 13,497.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.