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Finding the Fourth Proportional to 30,418.65, 45,628.09 and 9,358.56

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Solution

The fourth proportional to 30,418.65, 45,628.09 and 9,358.56 is: 14,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418.65 : 45,628.09 = 9,358.56 : x
  2. Step 2: Convert to fraction form
    30,418.65/45,628.09 = 9,358.56/x
  3. Step 3: Cross multiply
    30,418.65x = 45,628.09 × 9,358.56
  4. Step 4: Simplify right side
    30,418.65x = 427,013,194.55
  5. Step 5: Solve for x
    x = 427,013,194.55/30,418.65
  6. Step 6: Final answer
    x = 14,037.87

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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.