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Finding the Fourth Proportional to 14,093.53, 21,143.54 and 4,233

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Solution

The fourth proportional to 14,093.53, 21,143.54 and 4,233 is: 6,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.53 : 21,143.54 = 4,233 : x
  2. Step 2: Convert to fraction form
    14,093.53/21,143.54 = 4,233/x
  3. Step 3: Cross multiply
    14,093.53x = 21,143.54 × 4,233
  4. Step 4: Simplify right side
    14,093.53x = 89,500,604.82
  5. Step 5: Solve for x
    x = 89,500,604.82/14,093.53
  6. Step 6: Final answer
    x = 6,350.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.