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Finding the Fourth Proportional to 17,109.77, 25,658.15 and 8,222.63

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Solution

The fourth proportional to 17,109.77, 25,658.15 and 8,222.63 is: 12,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109.77 : 25,658.15 = 8,222.63 : x
  2. Step 2: Convert to fraction form
    17,109.77/25,658.15 = 8,222.63/x
  3. Step 3: Cross multiply
    17,109.77x = 25,658.15 × 8,222.63
  4. Step 4: Simplify right side
    17,109.77x = 210,977,304.53
  5. Step 5: Solve for x
    x = 210,977,304.53/17,109.77
  6. Step 6: Final answer
    x = 12,330.81

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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.