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Finding the Fourth Proportional to 14,057.96, 21,086.90 and 4,197

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Solution

The fourth proportional to 14,057.96, 21,086.90 and 4,197 is: 6,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.96 : 21,086.90 = 4,197 : x
  2. Step 2: Convert to fraction form
    14,057.96/21,086.90 = 4,197/x
  3. Step 3: Cross multiply
    14,057.96x = 21,086.90 × 4,197
  4. Step 4: Simplify right side
    14,057.96x = 88,501,719.30
  5. Step 5: Solve for x
    x = 88,501,719.30/14,057.96
  6. Step 6: Final answer
    x = 6,295.49

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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.