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Finding the Fourth Proportional to 17,569, 24,245.94 and 10,117

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Solution

The fourth proportional to 17,569, 24,245.94 and 10,117 is: 13,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,569 : 24,245.94 = 10,117 : x
  2. Step 2: Convert to fraction form
    17,569/24,245.94 = 10,117/x
  3. Step 3: Cross multiply
    17,569x = 24,245.94 × 10,117
  4. Step 4: Simplify right side
    17,569x = 245,296,174.98
  5. Step 5: Solve for x
    x = 245,296,174.98/17,569
  6. Step 6: Final answer
    x = 13,961.87

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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.