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Finding the Fourth Proportional to 14,180.84, 21,270.74 and 5,747.05

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Solution

The fourth proportional to 14,180.84, 21,270.74 and 5,747.05 is: 8,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.84 : 21,270.74 = 5,747.05 : x
  2. Step 2: Convert to fraction form
    14,180.84/21,270.74 = 5,747.05/x
  3. Step 3: Cross multiply
    14,180.84x = 21,270.74 × 5,747.05
  4. Step 4: Simplify right side
    14,180.84x = 122,244,004.17
  5. Step 5: Solve for x
    x = 122,244,004.17/14,180.84
  6. Step 6: Final answer
    x = 8,620.36

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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.