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Finding the Fourth Proportional to 25,630.70, 38,446.05 and 8,102.30

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Solution

The fourth proportional to 25,630.70, 38,446.05 and 8,102.30 is: 12,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,630.70 : 38,446.05 = 8,102.30 : x
  2. Step 2: Convert to fraction form
    25,630.70/38,446.05 = 8,102.30/x
  3. Step 3: Cross multiply
    25,630.70x = 38,446.05 × 8,102.30
  4. Step 4: Simplify right side
    25,630.70x = 311,501,430.92
  5. Step 5: Solve for x
    x = 311,501,430.92/25,630.70
  6. Step 6: Final answer
    x = 12,153.45

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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.