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Finding the Fourth Proportional to 12,652.46, 17,461.38 and 9,310.62

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Solution

The fourth proportional to 12,652.46, 17,461.38 and 9,310.62 is: 12,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.46 : 17,461.38 = 9,310.62 : x
  2. Step 2: Convert to fraction form
    12,652.46/17,461.38 = 9,310.62/x
  3. Step 3: Cross multiply
    12,652.46x = 17,461.38 × 9,310.62
  4. Step 4: Simplify right side
    12,652.46x = 162,576,273.86
  5. Step 5: Solve for x
    x = 162,576,273.86/12,652.46
  6. Step 6: Final answer
    x = 12,849.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.