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Finding the Fourth Proportional to 17,156.13, 23,680.13 and 10,084.83

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Solution

The fourth proportional to 17,156.13, 23,680.13 and 10,084.83 is: 13,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,156.13 : 23,680.13 = 10,084.83 : x
  2. Step 2: Convert to fraction form
    17,156.13/23,680.13 = 10,084.83/x
  3. Step 3: Cross multiply
    17,156.13x = 23,680.13 × 10,084.83
  4. Step 4: Simplify right side
    17,156.13x = 238,810,035.00
  5. Step 5: Solve for x
    x = 238,810,035.00/17,156.13
  6. Step 6: Final answer
    x = 13,919.81

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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.