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Finding the Fourth Proportional to 14,212.72, 21,326.28 and 9,586

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Solution

The fourth proportional to 14,212.72, 21,326.28 and 9,586 is: 14,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.72 : 21,326.28 = 9,586 : x
  2. Step 2: Convert to fraction form
    14,212.72/21,326.28 = 9,586/x
  3. Step 3: Cross multiply
    14,212.72x = 21,326.28 × 9,586
  4. Step 4: Simplify right side
    14,212.72x = 204,433,720.08
  5. Step 5: Solve for x
    x = 204,433,720.08/14,212.72
  6. Step 6: Final answer
    x = 14,383.86

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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.