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Finding the Fourth Proportional to 14,399.38, 19,871.04 and 8,111.74

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Solution

The fourth proportional to 14,399.38, 19,871.04 and 8,111.74 is: 11,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399.38 : 19,871.04 = 8,111.74 : x
  2. Step 2: Convert to fraction form
    14,399.38/19,871.04 = 8,111.74/x
  3. Step 3: Cross multiply
    14,399.38x = 19,871.04 × 8,111.74
  4. Step 4: Simplify right side
    14,399.38x = 161,188,710.01
  5. Step 5: Solve for x
    x = 161,188,710.01/14,399.38
  6. Step 6: Final answer
    x = 11,194.14

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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.