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Finding the Fourth Proportional to 17,084.42, 23,578.12 and 10,712.02

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Solution

The fourth proportional to 17,084.42, 23,578.12 and 10,712.02 is: 14,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.42 : 23,578.12 = 10,712.02 : x
  2. Step 2: Convert to fraction form
    17,084.42/23,578.12 = 10,712.02/x
  3. Step 3: Cross multiply
    17,084.42x = 23,578.12 × 10,712.02
  4. Step 4: Simplify right side
    17,084.42x = 252,569,293.00
  5. Step 5: Solve for x
    x = 252,569,293.00/17,084.42
  6. Step 6: Final answer
    x = 14,783.60

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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.