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Finding the Fourth Proportional to 14,254.86, 21,382.24 and 3,866.62

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Solution

The fourth proportional to 14,254.86, 21,382.24 and 3,866.62 is: 5,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.86 : 21,382.24 = 3,866.62 : x
  2. Step 2: Convert to fraction form
    14,254.86/21,382.24 = 3,866.62/x
  3. Step 3: Cross multiply
    14,254.86x = 21,382.24 × 3,866.62
  4. Step 4: Simplify right side
    14,254.86x = 82,676,996.83
  5. Step 5: Solve for x
    x = 82,676,996.83/14,254.86
  6. Step 6: Final answer
    x = 5,799.92

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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.