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Finding the Fourth Proportional to 30,266.24, 45,406.62 and 9,489.74

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Solution

The fourth proportional to 30,266.24, 45,406.62 and 9,489.74 is: 14,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.24 : 45,406.62 = 9,489.74 : x
  2. Step 2: Convert to fraction form
    30,266.24/45,406.62 = 9,489.74/x
  3. Step 3: Cross multiply
    30,266.24x = 45,406.62 × 9,489.74
  4. Step 4: Simplify right side
    30,266.24x = 430,896,791.05
  5. Step 5: Solve for x
    x = 430,896,791.05/30,266.24
  6. Step 6: Final answer
    x = 14,236.88

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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.