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Finding the Fourth Proportional to 30,266.29, 45,406.72 and 9,489.79

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Solution

The fourth proportional to 30,266.29, 45,406.72 and 9,489.79 is: 14,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.29 : 45,406.72 = 9,489.79 : x
  2. Step 2: Convert to fraction form
    30,266.29/45,406.72 = 9,489.79/x
  3. Step 3: Cross multiply
    30,266.29x = 45,406.72 × 9,489.79
  4. Step 4: Simplify right side
    30,266.29x = 430,900,237.39
  5. Step 5: Solve for x
    x = 430,900,237.39/30,266.29
  6. Step 6: Final answer
    x = 14,236.97

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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.