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Finding the Fourth Proportional to 25,378.10, 38,069.68 and 8,735.93

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Solution

The fourth proportional to 25,378.10, 38,069.68 and 8,735.93 is: 13,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.10 : 38,069.68 = 8,735.93 : x
  2. Step 2: Convert to fraction form
    25,378.10/38,069.68 = 8,735.93/x
  3. Step 3: Cross multiply
    25,378.10x = 38,069.68 × 8,735.93
  4. Step 4: Simplify right side
    25,378.10x = 332,573,847.41
  5. Step 5: Solve for x
    x = 332,573,847.41/25,378.10
  6. Step 6: Final answer
    x = 13,104.76

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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.