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Finding the Fourth Proportional to 14,433.14, 21,652.14 and 5,072.78

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Solution

The fourth proportional to 14,433.14, 21,652.14 and 5,072.78 is: 7,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.14 : 21,652.14 = 5,072.78 : x
  2. Step 2: Convert to fraction form
    14,433.14/21,652.14 = 5,072.78/x
  3. Step 3: Cross multiply
    14,433.14x = 21,652.14 × 5,072.78
  4. Step 4: Simplify right side
    14,433.14x = 109,836,542.75
  5. Step 5: Solve for x
    x = 109,836,542.75/14,433.14
  6. Step 6: Final answer
    x = 7,610.02

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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.