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Finding the Fourth Proportional to 17,084.82, 23,577.09 and 9,530.96

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Solution

The fourth proportional to 17,084.82, 23,577.09 and 9,530.96 is: 13,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.82 : 23,577.09 = 9,530.96 : x
  2. Step 2: Convert to fraction form
    17,084.82/23,577.09 = 9,530.96/x
  3. Step 3: Cross multiply
    17,084.82x = 23,577.09 × 9,530.96
  4. Step 4: Simplify right side
    17,084.82x = 224,712,360.65
  5. Step 5: Solve for x
    x = 224,712,360.65/17,084.82
  6. Step 6: Final answer
    x = 13,152.75

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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.