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Finding the Fourth Proportional to 17,077.71, 25,617.78 and 5,390.63

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Solution

The fourth proportional to 17,077.71, 25,617.78 and 5,390.63 is: 8,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.71 : 25,617.78 = 5,390.63 : x
  2. Step 2: Convert to fraction form
    17,077.71/25,617.78 = 5,390.63/x
  3. Step 3: Cross multiply
    17,077.71x = 25,617.78 × 5,390.63
  4. Step 4: Simplify right side
    17,077.71x = 138,095,845.31
  5. Step 5: Solve for x
    x = 138,095,845.31/17,077.71
  6. Step 6: Final answer
    x = 8,086.32

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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.