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Finding the Fourth Proportional to 14,452.13, 19,945.56 and 8,164.91

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Solution

The fourth proportional to 14,452.13, 19,945.56 and 8,164.91 is: 11,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.13 : 19,945.56 = 8,164.91 : x
  2. Step 2: Convert to fraction form
    14,452.13/19,945.56 = 8,164.91/x
  3. Step 3: Cross multiply
    14,452.13x = 19,945.56 × 8,164.91
  4. Step 4: Simplify right side
    14,452.13x = 162,853,702.30
  5. Step 5: Solve for x
    x = 162,853,702.30/14,452.13
  6. Step 6: Final answer
    x = 11,268.49

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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.