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Finding the Fourth Proportional to 25,615, 38,425.02 and 7,147

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Solution

The fourth proportional to 25,615, 38,425.02 and 7,147 is: 10,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615 : 38,425.02 = 7,147 : x
  2. Step 2: Convert to fraction form
    25,615/38,425.02 = 7,147/x
  3. Step 3: Cross multiply
    25,615x = 38,425.02 × 7,147
  4. Step 4: Simplify right side
    25,615x = 274,623,617.94
  5. Step 5: Solve for x
    x = 274,623,617.94/25,615
  6. Step 6: Final answer
    x = 10,721.20

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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.