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Finding the Fourth Proportional to 17,367.19, 23,966.96 and 10,202.00

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Solution

The fourth proportional to 17,367.19, 23,966.96 and 10,202.00 is: 14,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,367.19 : 23,966.96 = 10,202.00 : x
  2. Step 2: Convert to fraction form
    17,367.19/23,966.96 = 10,202.00/x
  3. Step 3: Cross multiply
    17,367.19x = 23,966.96 × 10,202.00
  4. Step 4: Simplify right side
    17,367.19x = 244,510,755.08
  5. Step 5: Solve for x
    x = 244,510,755.08/17,367.19
  6. Step 6: Final answer
    x = 14,078.89

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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.