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Finding the Fourth Proportional to 14,234.62, 21,364.97 and 7,219.48

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Solution

The fourth proportional to 14,234.62, 21,364.97 and 7,219.48 is: 10,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.62 : 21,364.97 = 7,219.48 : x
  2. Step 2: Convert to fraction form
    14,234.62/21,364.97 = 7,219.48/x
  3. Step 3: Cross multiply
    14,234.62x = 21,364.97 × 7,219.48
  4. Step 4: Simplify right side
    14,234.62x = 154,243,924.17
  5. Step 5: Solve for x
    x = 154,243,924.17/14,234.62
  6. Step 6: Final answer
    x = 10,835.83

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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.