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Finding the Fourth Proportional to 13,453.84, 20,174.46 and 4,687.66

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Solution

The fourth proportional to 13,453.84, 20,174.46 and 4,687.66 is: 7,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.84 : 20,174.46 = 4,687.66 : x
  2. Step 2: Convert to fraction form
    13,453.84/20,174.46 = 4,687.66/x
  3. Step 3: Cross multiply
    13,453.84x = 20,174.46 × 4,687.66
  4. Step 4: Simplify right side
    13,453.84x = 94,571,009.16
  5. Step 5: Solve for x
    x = 94,571,009.16/13,453.84
  6. Step 6: Final answer
    x = 7,029.29

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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.