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Finding the Fourth Proportional to 30,386.63, 45,576.50 and 8,198.70

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Solution

The fourth proportional to 30,386.63, 45,576.50 and 8,198.70 is: 12,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386.63 : 45,576.50 = 8,198.70 : x
  2. Step 2: Convert to fraction form
    30,386.63/45,576.50 = 8,198.70/x
  3. Step 3: Cross multiply
    30,386.63x = 45,576.50 × 8,198.70
  4. Step 4: Simplify right side
    30,386.63x = 373,668,009.56
  5. Step 5: Solve for x
    x = 373,668,009.56/30,386.63
  6. Step 6: Final answer
    x = 12,297.12

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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.