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Finding the Fourth Proportional to 17,140.28, 25,713.64 and 7,780.96

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Solution

The fourth proportional to 17,140.28, 25,713.64 and 7,780.96 is: 11,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.28 : 25,713.64 = 7,780.96 : x
  2. Step 2: Convert to fraction form
    17,140.28/25,713.64 = 7,780.96/x
  3. Step 3: Cross multiply
    17,140.28x = 25,713.64 × 7,780.96
  4. Step 4: Simplify right side
    17,140.28x = 200,076,835.22
  5. Step 5: Solve for x
    x = 200,076,835.22/17,140.28
  6. Step 6: Final answer
    x = 11,672.90

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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.