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Finding the Fourth Proportional to 14,053.38, 21,096.36 and 8,214.18

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Solution

The fourth proportional to 14,053.38, 21,096.36 and 8,214.18 is: 12,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.38 : 21,096.36 = 8,214.18 : x
  2. Step 2: Convert to fraction form
    14,053.38/21,096.36 = 8,214.18/x
  3. Step 3: Cross multiply
    14,053.38x = 21,096.36 × 8,214.18
  4. Step 4: Simplify right side
    14,053.38x = 173,289,298.38
  5. Step 5: Solve for x
    x = 173,289,298.38/14,053.38
  6. Step 6: Final answer
    x = 12,330.79

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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.