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Finding the Fourth Proportional to 25,147.45, 37,726.03 and 9,563.86

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Solution

The fourth proportional to 25,147.45, 37,726.03 and 9,563.86 is: 14,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,147.45 : 37,726.03 = 9,563.86 : x
  2. Step 2: Convert to fraction form
    25,147.45/37,726.03 = 9,563.86/x
  3. Step 3: Cross multiply
    25,147.45x = 37,726.03 × 9,563.86
  4. Step 4: Simplify right side
    25,147.45x = 360,806,469.28
  5. Step 5: Solve for x
    x = 360,806,469.28/25,147.45
  6. Step 6: Final answer
    x = 14,347.64

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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.