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Finding the Fourth Proportional to 25,834.21, 38,749.86 and 8,302.64

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Solution

The fourth proportional to 25,834.21, 38,749.86 and 8,302.64 is: 12,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,834.21 : 38,749.86 = 8,302.64 : x
  2. Step 2: Convert to fraction form
    25,834.21/38,749.86 = 8,302.64/x
  3. Step 3: Cross multiply
    25,834.21x = 38,749.86 × 8,302.64
  4. Step 4: Simplify right side
    25,834.21x = 321,725,943.88
  5. Step 5: Solve for x
    x = 321,725,943.88/25,834.21
  6. Step 6: Final answer
    x = 12,453.49

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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.