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Finding the Fourth Proportional to 14,354.84, 19,805.22 and 8,382.20

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Solution

The fourth proportional to 14,354.84, 19,805.22 and 8,382.20 is: 11,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.84 : 19,805.22 = 8,382.20 : x
  2. Step 2: Convert to fraction form
    14,354.84/19,805.22 = 8,382.20/x
  3. Step 3: Cross multiply
    14,354.84x = 19,805.22 × 8,382.20
  4. Step 4: Simplify right side
    14,354.84x = 166,011,216.06
  5. Step 5: Solve for x
    x = 166,011,216.06/14,354.84
  6. Step 6: Final answer
    x = 11,564.83

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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.