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Finding the Fourth Proportional to 14,260.42, 21,382.42 and 5,494.20

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Solution

The fourth proportional to 14,260.42, 21,382.42 and 5,494.20 is: 8,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.42 : 21,382.42 = 5,494.20 : x
  2. Step 2: Convert to fraction form
    14,260.42/21,382.42 = 5,494.20/x
  3. Step 3: Cross multiply
    14,260.42x = 21,382.42 × 5,494.20
  4. Step 4: Simplify right side
    14,260.42x = 117,479,291.96
  5. Step 5: Solve for x
    x = 117,479,291.96/14,260.42
  6. Step 6: Final answer
    x = 8,238.14

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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.