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Finding the Fourth Proportional to 14,646.62, 21,960.99 and 5,751.29

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Solution

The fourth proportional to 14,646.62, 21,960.99 and 5,751.29 is: 8,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.62 : 21,960.99 = 5,751.29 : x
  2. Step 2: Convert to fraction form
    14,646.62/21,960.99 = 5,751.29/x
  3. Step 3: Cross multiply
    14,646.62x = 21,960.99 × 5,751.29
  4. Step 4: Simplify right side
    14,646.62x = 126,304,077.08
  5. Step 5: Solve for x
    x = 126,304,077.08/14,646.62
  6. Step 6: Final answer
    x = 8,623.43

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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.