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Finding the Fourth Proportional to 16,175.70, 22,322.39 and 9,102.17

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Solution

The fourth proportional to 16,175.70, 22,322.39 and 9,102.17 is: 12,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.70 : 22,322.39 = 9,102.17 : x
  2. Step 2: Convert to fraction form
    16,175.70/22,322.39 = 9,102.17/x
  3. Step 3: Cross multiply
    16,175.70x = 22,322.39 × 9,102.17
  4. Step 4: Simplify right side
    16,175.70x = 203,182,198.88
  5. Step 5: Solve for x
    x = 203,182,198.88/16,175.70
  6. Step 6: Final answer
    x = 12,560.95

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