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Finding the Fourth Proportional to 14,183.32, 21,270.66 and 8,023

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Solution

The fourth proportional to 14,183.32, 21,270.66 and 8,023 is: 12,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.32 : 21,270.66 = 8,023 : x
  2. Step 2: Convert to fraction form
    14,183.32/21,270.66 = 8,023/x
  3. Step 3: Cross multiply
    14,183.32x = 21,270.66 × 8,023
  4. Step 4: Simplify right side
    14,183.32x = 170,654,505.18
  5. Step 5: Solve for x
    x = 170,654,505.18/14,183.32
  6. Step 6: Final answer
    x = 12,032.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.