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Finding the Fourth Proportional to 25,946.44, 38,919.66 and 8,416.27

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Solution

The fourth proportional to 25,946.44, 38,919.66 and 8,416.27 is: 12,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,946.44 : 38,919.66 = 8,416.27 : x
  2. Step 2: Convert to fraction form
    25,946.44/38,919.66 = 8,416.27/x
  3. Step 3: Cross multiply
    25,946.44x = 38,919.66 × 8,416.27
  4. Step 4: Simplify right side
    25,946.44x = 327,558,238.01
  5. Step 5: Solve for x
    x = 327,558,238.01/25,946.44
  6. Step 6: Final answer
    x = 12,624.40

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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.