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Finding the Fourth Proportional to 30,765.87, 42,453.14 and 18,009.59

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Solution

The fourth proportional to 30,765.87, 42,453.14 and 18,009.59 is: 24,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.87 : 42,453.14 = 18,009.59 : x
  2. Step 2: Convert to fraction form
    30,765.87/42,453.14 = 18,009.59/x
  3. Step 3: Cross multiply
    30,765.87x = 42,453.14 × 18,009.59
  4. Step 4: Simplify right side
    30,765.87x = 764,563,343.30
  5. Step 5: Solve for x
    x = 764,563,343.30/30,765.87
  6. Step 6: Final answer
    x = 24,851.02

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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.