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Finding the Fourth Proportional to 14,782.24, 22,172.73 and 6,882.04

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Solution

The fourth proportional to 14,782.24, 22,172.73 and 6,882.04 is: 10,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.24 : 22,172.73 = 6,882.04 : x
  2. Step 2: Convert to fraction form
    14,782.24/22,172.73 = 6,882.04/x
  3. Step 3: Cross multiply
    14,782.24x = 22,172.73 × 6,882.04
  4. Step 4: Simplify right side
    14,782.24x = 152,593,559.34
  5. Step 5: Solve for x
    x = 152,593,559.34/14,782.24
  6. Step 6: Final answer
    x = 10,322.76

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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.