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Finding the Fourth Proportional to 25,201.75, 37,817.34 and 9,417.65

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Solution

The fourth proportional to 25,201.75, 37,817.34 and 9,417.65 is: 14,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.75 : 37,817.34 = 9,417.65 : x
  2. Step 2: Convert to fraction form
    25,201.75/37,817.34 = 9,417.65/x
  3. Step 3: Cross multiply
    25,201.75x = 37,817.34 × 9,417.65
  4. Step 4: Simplify right side
    25,201.75x = 356,150,513.34
  5. Step 5: Solve for x
    x = 356,150,513.34/25,201.75
  6. Step 6: Final answer
    x = 14,131.98

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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.