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Finding the Fourth Proportional to 14,452.90, 19,944.80 and 8,165.40

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Solution

The fourth proportional to 14,452.90, 19,944.80 and 8,165.40 is: 11,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.90 : 19,944.80 = 8,165.40 : x
  2. Step 2: Convert to fraction form
    14,452.90/19,944.80 = 8,165.40/x
  3. Step 3: Cross multiply
    14,452.90x = 19,944.80 × 8,165.40
  4. Step 4: Simplify right side
    14,452.90x = 162,857,269.92
  5. Step 5: Solve for x
    x = 162,857,269.92/14,452.90
  6. Step 6: Final answer
    x = 11,268.14

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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.