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Finding the Fourth Proportional to 14,452.38, 19,943.19 and 8,165.34

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Solution

The fourth proportional to 14,452.38, 19,943.19 and 8,165.34 is: 11,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.38 : 19,943.19 = 8,165.34 : x
  2. Step 2: Convert to fraction form
    14,452.38/19,943.19 = 8,165.34/x
  3. Step 3: Cross multiply
    14,452.38x = 19,943.19 × 8,165.34
  4. Step 4: Simplify right side
    14,452.38x = 162,842,927.03
  5. Step 5: Solve for x
    x = 162,842,927.03/14,452.38
  6. Step 6: Final answer
    x = 11,267.55

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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.