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Finding the Fourth Proportional to 14,549.82, 21,806.09 and 9,282.79

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Solution

The fourth proportional to 14,549.82, 21,806.09 and 9,282.79 is: 13,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.82 : 21,806.09 = 9,282.79 : x
  2. Step 2: Convert to fraction form
    14,549.82/21,806.09 = 9,282.79/x
  3. Step 3: Cross multiply
    14,549.82x = 21,806.09 × 9,282.79
  4. Step 4: Simplify right side
    14,549.82x = 202,421,354.19
  5. Step 5: Solve for x
    x = 202,421,354.19/14,549.82
  6. Step 6: Final answer
    x = 13,912.29

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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.