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Finding the Fourth Proportional to 25,709.60, 38,561.97 and 8,176.34

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Solution

The fourth proportional to 25,709.60, 38,561.97 and 8,176.34 is: 12,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.60 : 38,561.97 = 8,176.34 : x
  2. Step 2: Convert to fraction form
    25,709.60/38,561.97 = 8,176.34/x
  3. Step 3: Cross multiply
    25,709.60x = 38,561.97 × 8,176.34
  4. Step 4: Simplify right side
    25,709.60x = 315,295,904.86
  5. Step 5: Solve for x
    x = 315,295,904.86/25,709.60
  6. Step 6: Final answer
    x = 12,263.74

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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.