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Finding the Fourth Proportional to 17,257.65, 23,813.89 and 9,702.24

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Solution

The fourth proportional to 17,257.65, 23,813.89 and 9,702.24 is: 13,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.65 : 23,813.89 = 9,702.24 : x
  2. Step 2: Convert to fraction form
    17,257.65/23,813.89 = 9,702.24/x
  3. Step 3: Cross multiply
    17,257.65x = 23,813.89 × 9,702.24
  4. Step 4: Simplify right side
    17,257.65x = 231,048,076.11
  5. Step 5: Solve for x
    x = 231,048,076.11/17,257.65
  6. Step 6: Final answer
    x = 13,388.15

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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.