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Finding the Fourth Proportional to 13,453.02, 18,564.84 and 8,146.98

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Solution

The fourth proportional to 13,453.02, 18,564.84 and 8,146.98 is: 11,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.02 : 18,564.84 = 8,146.98 : x
  2. Step 2: Convert to fraction form
    13,453.02/18,564.84 = 8,146.98/x
  3. Step 3: Cross multiply
    13,453.02x = 18,564.84 × 8,146.98
  4. Step 4: Simplify right side
    13,453.02x = 151,247,380.18
  5. Step 5: Solve for x
    x = 151,247,380.18/13,453.02
  6. Step 6: Final answer
    x = 11,242.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.