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Finding the Fourth Proportional to 14,165.92, 19,549.38 and 8,199.46

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Solution

The fourth proportional to 14,165.92, 19,549.38 and 8,199.46 is: 11,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.92 : 19,549.38 = 8,199.46 : x
  2. Step 2: Convert to fraction form
    14,165.92/19,549.38 = 8,199.46/x
  3. Step 3: Cross multiply
    14,165.92x = 19,549.38 × 8,199.46
  4. Step 4: Simplify right side
    14,165.92x = 160,294,359.33
  5. Step 5: Solve for x
    x = 160,294,359.33/14,165.92
  6. Step 6: Final answer
    x = 11,315.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.