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Finding the Fourth Proportional to 17,142.60, 25,713.90 and 9,769.80

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Solution

The fourth proportional to 17,142.60, 25,713.90 and 9,769.80 is: 14,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.60 : 25,713.90 = 9,769.80 : x
  2. Step 2: Convert to fraction form
    17,142.60/25,713.90 = 9,769.80/x
  3. Step 3: Cross multiply
    17,142.60x = 25,713.90 × 9,769.80
  4. Step 4: Simplify right side
    17,142.60x = 251,219,660.22
  5. Step 5: Solve for x
    x = 251,219,660.22/17,142.60
  6. Step 6: Final answer
    x = 14,654.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.