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Finding the Fourth Proportional to 16,146.73, 22,284.28 and 9,073

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Solution

The fourth proportional to 16,146.73, 22,284.28 and 9,073 is: 12,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.73 : 22,284.28 = 9,073 : x
  2. Step 2: Convert to fraction form
    16,146.73/22,284.28 = 9,073/x
  3. Step 3: Cross multiply
    16,146.73x = 22,284.28 × 9,073
  4. Step 4: Simplify right side
    16,146.73x = 202,185,272.44
  5. Step 5: Solve for x
    x = 202,185,272.44/16,146.73
  6. Step 6: Final answer
    x = 12,521.75

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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.