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Finding the Fourth Proportional to 14,234.32, 21,351.76 and 3,845.76

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Solution

The fourth proportional to 14,234.32, 21,351.76 and 3,845.76 is: 5,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.32 : 21,351.76 = 3,845.76 : x
  2. Step 2: Convert to fraction form
    14,234.32/21,351.76 = 3,845.76/x
  3. Step 3: Cross multiply
    14,234.32x = 21,351.76 × 3,845.76
  4. Step 4: Simplify right side
    14,234.32x = 82,113,744.54
  5. Step 5: Solve for x
    x = 82,113,744.54/14,234.32
  6. Step 6: Final answer
    x = 5,768.72

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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.