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Finding the Fourth Proportional to 18,202.42, 27,303.65 and 10,405.76

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Solution

The fourth proportional to 18,202.42, 27,303.65 and 10,405.76 is: 15,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.42 : 27,303.65 = 10,405.76 : x
  2. Step 2: Convert to fraction form
    18,202.42/27,303.65 = 10,405.76/x
  3. Step 3: Cross multiply
    18,202.42x = 27,303.65 × 10,405.76
  4. Step 4: Simplify right side
    18,202.42x = 284,115,177.00
  5. Step 5: Solve for x
    x = 284,115,177.00/18,202.42
  6. Step 6: Final answer
    x = 15,608.65

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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.