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Finding the Fourth Proportional to 25,107.67, 37,661.49 and 9,525.30

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Solution

The fourth proportional to 25,107.67, 37,661.49 and 9,525.30 is: 14,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.67 : 37,661.49 = 9,525.30 : x
  2. Step 2: Convert to fraction form
    25,107.67/37,661.49 = 9,525.30/x
  3. Step 3: Cross multiply
    25,107.67x = 37,661.49 × 9,525.30
  4. Step 4: Simplify right side
    25,107.67x = 358,736,990.70
  5. Step 5: Solve for x
    x = 358,736,990.70/25,107.67
  6. Step 6: Final answer
    x = 14,287.94

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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.