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Finding the Fourth Proportional to 14,452.83, 19,944.36 and 8,165.34

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Solution

The fourth proportional to 14,452.83, 19,944.36 and 8,165.34 is: 11,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.83 : 19,944.36 = 8,165.34 : x
  2. Step 2: Convert to fraction form
    14,452.83/19,944.36 = 8,165.34/x
  3. Step 3: Cross multiply
    14,452.83x = 19,944.36 × 8,165.34
  4. Step 4: Simplify right side
    14,452.83x = 162,852,480.48
  5. Step 5: Solve for x
    x = 162,852,480.48/14,452.83
  6. Step 6: Final answer
    x = 11,267.86

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