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Finding the Fourth Proportional to 14,534.54, 21,815.43 and 7,144.30

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Solution

The fourth proportional to 14,534.54, 21,815.43 and 7,144.30 is: 10,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.54 : 21,815.43 = 7,144.30 : x
  2. Step 2: Convert to fraction form
    14,534.54/21,815.43 = 7,144.30/x
  3. Step 3: Cross multiply
    14,534.54x = 21,815.43 × 7,144.30
  4. Step 4: Simplify right side
    14,534.54x = 155,855,977.03
  5. Step 5: Solve for x
    x = 155,855,977.03/14,534.54
  6. Step 6: Final answer
    x = 10,723.15

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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.