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Finding the Fourth Proportional to 18,142.68, 27,201.06 and 7,748.76

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Solution

The fourth proportional to 18,142.68, 27,201.06 and 7,748.76 is: 11,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.68 : 27,201.06 = 7,748.76 : x
  2. Step 2: Convert to fraction form
    18,142.68/27,201.06 = 7,748.76/x
  3. Step 3: Cross multiply
    18,142.68x = 27,201.06 × 7,748.76
  4. Step 4: Simplify right side
    18,142.68x = 210,774,485.69
  5. Step 5: Solve for x
    x = 210,774,485.69/18,142.68
  6. Step 6: Final answer
    x = 11,617.60

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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.