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Finding the Fourth Proportional to 17,817.96, 24,588.86 and 9,751.85

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Solution

The fourth proportional to 17,817.96, 24,588.86 and 9,751.85 is: 13,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,817.96 : 24,588.86 = 9,751.85 : x
  2. Step 2: Convert to fraction form
    17,817.96/24,588.86 = 9,751.85/x
  3. Step 3: Cross multiply
    17,817.96x = 24,588.86 × 9,751.85
  4. Step 4: Simplify right side
    17,817.96x = 239,786,702.69
  5. Step 5: Solve for x
    x = 239,786,702.69/17,817.96
  6. Step 6: Final answer
    x = 13,457.58

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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.