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Finding the Fourth Proportional to 17,084.76, 23,579.31 and 10,014

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Solution

The fourth proportional to 17,084.76, 23,579.31 and 10,014 is: 13,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.76 : 23,579.31 = 10,014 : x
  2. Step 2: Convert to fraction form
    17,084.76/23,579.31 = 10,014/x
  3. Step 3: Cross multiply
    17,084.76x = 23,579.31 × 10,014
  4. Step 4: Simplify right side
    17,084.76x = 236,123,210.34
  5. Step 5: Solve for x
    x = 236,123,210.34/17,084.76
  6. Step 6: Final answer
    x = 13,820.69

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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.