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Finding the Fourth Proportional to 11,785.70, 17,649.36 and 8,658.26

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Solution

The fourth proportional to 11,785.70, 17,649.36 and 8,658.26 is: 12,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.70 : 17,649.36 = 8,658.26 : x
  2. Step 2: Convert to fraction form
    11,785.70/17,649.36 = 8,658.26/x
  3. Step 3: Cross multiply
    11,785.70x = 17,649.36 × 8,658.26
  4. Step 4: Simplify right side
    11,785.70x = 152,812,747.71
  5. Step 5: Solve for x
    x = 152,812,747.71/11,785.70
  6. Step 6: Final answer
    x = 12,965.95

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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.