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Finding the Fourth Proportional to 14,260.26, 21,390.78 and 3,872

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Solution

The fourth proportional to 14,260.26, 21,390.78 and 3,872 is: 5,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.26 : 21,390.78 = 3,872 : x
  2. Step 2: Convert to fraction form
    14,260.26/21,390.78 = 3,872/x
  3. Step 3: Cross multiply
    14,260.26x = 21,390.78 × 3,872
  4. Step 4: Simplify right side
    14,260.26x = 82,825,100.16
  5. Step 5: Solve for x
    x = 82,825,100.16/14,260.26
  6. Step 6: Final answer
    x = 5,808.11

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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.