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Finding the Fourth Proportional to 12,682.58, 17,498.81 and 8,200.94

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Solution

The fourth proportional to 12,682.58, 17,498.81 and 8,200.94 is: 11,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.58 : 17,498.81 = 8,200.94 : x
  2. Step 2: Convert to fraction form
    12,682.58/17,498.81 = 8,200.94/x
  3. Step 3: Cross multiply
    12,682.58x = 17,498.81 × 8,200.94
  4. Step 4: Simplify right side
    12,682.58x = 143,506,562.38
  5. Step 5: Solve for x
    x = 143,506,562.38/12,682.58
  6. Step 6: Final answer
    x = 11,315.25

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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.