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Finding the Fourth Proportional to 14,517.96, 21,774.89 and 4,655.96

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Solution

The fourth proportional to 14,517.96, 21,774.89 and 4,655.96 is: 6,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.96 : 21,774.89 = 4,655.96 : x
  2. Step 2: Convert to fraction form
    14,517.96/21,774.89 = 4,655.96/x
  3. Step 3: Cross multiply
    14,517.96x = 21,774.89 × 4,655.96
  4. Step 4: Simplify right side
    14,517.96x = 101,382,920.38
  5. Step 5: Solve for x
    x = 101,382,920.38/14,517.96
  6. Step 6: Final answer
    x = 6,983.28

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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.