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Finding the Fourth Proportional to 25,576.25, 38,364.38 and 7,108.25

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Solution

The fourth proportional to 25,576.25, 38,364.38 and 7,108.25 is: 10,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,576.25 : 38,364.38 = 7,108.25 : x
  2. Step 2: Convert to fraction form
    25,576.25/38,364.38 = 7,108.25/x
  3. Step 3: Cross multiply
    25,576.25x = 38,364.38 × 7,108.25
  4. Step 4: Simplify right side
    25,576.25x = 272,703,568.59
  5. Step 5: Solve for x
    x = 272,703,568.59/25,576.25
  6. Step 6: Final answer
    x = 10,662.38

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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.