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Finding the Fourth Proportional to 25,415.56, 38,109.66 and 7,880.68

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Solution

The fourth proportional to 25,415.56, 38,109.66 and 7,880.68 is: 11,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,415.56 : 38,109.66 = 7,880.68 : x
  2. Step 2: Convert to fraction form
    25,415.56/38,109.66 = 7,880.68/x
  3. Step 3: Cross multiply
    25,415.56x = 38,109.66 × 7,880.68
  4. Step 4: Simplify right side
    25,415.56x = 300,330,035.37
  5. Step 5: Solve for x
    x = 300,330,035.37/25,415.56
  6. Step 6: Final answer
    x = 11,816.78

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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.