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Finding the Fourth Proportional to 25,317.56, 37,976.34 and 6,849.56

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Solution

The fourth proportional to 25,317.56, 37,976.34 and 6,849.56 is: 10,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,317.56 : 37,976.34 = 6,849.56 : x
  2. Step 2: Convert to fraction form
    25,317.56/37,976.34 = 6,849.56/x
  3. Step 3: Cross multiply
    25,317.56x = 37,976.34 × 6,849.56
  4. Step 4: Simplify right side
    25,317.56x = 260,121,340.04
  5. Step 5: Solve for x
    x = 260,121,340.04/25,317.56
  6. Step 6: Final answer
    x = 10,274.34

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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.