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Finding the Fourth Proportional to 14,182.32, 21,269.16 and 8,022

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Solution

The fourth proportional to 14,182.32, 21,269.16 and 8,022 is: 12,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.32 : 21,269.16 = 8,022 : x
  2. Step 2: Convert to fraction form
    14,182.32/21,269.16 = 8,022/x
  3. Step 3: Cross multiply
    14,182.32x = 21,269.16 × 8,022
  4. Step 4: Simplify right side
    14,182.32x = 170,621,201.52
  5. Step 5: Solve for x
    x = 170,621,201.52/14,182.32
  6. Step 6: Final answer
    x = 12,030.56

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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.