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Finding the Fourth Proportional to 17,156.05, 25,739.30 and 8,157

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Solution

The fourth proportional to 17,156.05, 25,739.30 and 8,157 is: 12,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,156.05 : 25,739.30 = 8,157 : x
  2. Step 2: Convert to fraction form
    17,156.05/25,739.30 = 8,157/x
  3. Step 3: Cross multiply
    17,156.05x = 25,739.30 × 8,157
  4. Step 4: Simplify right side
    17,156.05x = 209,955,470.10
  5. Step 5: Solve for x
    x = 209,955,470.10/17,156.05
  6. Step 6: Final answer
    x = 12,237.98

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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.