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Finding the Fourth Proportional to 14,382.14, 19,844.36 and 8,412.62

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Solution

The fourth proportional to 14,382.14, 19,844.36 and 8,412.62 is: 11,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.14 : 19,844.36 = 8,412.62 : x
  2. Step 2: Convert to fraction form
    14,382.14/19,844.36 = 8,412.62/x
  3. Step 3: Cross multiply
    14,382.14x = 19,844.36 × 8,412.62
  4. Step 4: Simplify right side
    14,382.14x = 166,943,059.82
  5. Step 5: Solve for x
    x = 166,943,059.82/14,382.14
  6. Step 6: Final answer
    x = 11,607.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.