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Finding the Fourth Proportional to 14,242.43, 21,349.07 and 7,209.41

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Solution

The fourth proportional to 14,242.43, 21,349.07 and 7,209.41 is: 10,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.43 : 21,349.07 = 7,209.41 : x
  2. Step 2: Convert to fraction form
    14,242.43/21,349.07 = 7,209.41/x
  3. Step 3: Cross multiply
    14,242.43x = 21,349.07 × 7,209.41
  4. Step 4: Simplify right side
    14,242.43x = 153,914,082.99
  5. Step 5: Solve for x
    x = 153,914,082.99/14,242.43
  6. Step 6: Final answer
    x = 10,806.73

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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.