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Finding the Fourth Proportional to 16,146, 22,282.56 and 9,072.72

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Solution

The fourth proportional to 16,146, 22,282.56 and 9,072.72 is: 12,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146 : 22,282.56 = 9,072.72 : x
  2. Step 2: Convert to fraction form
    16,146/22,282.56 = 9,072.72/x
  3. Step 3: Cross multiply
    16,146x = 22,282.56 × 9,072.72
  4. Step 4: Simplify right side
    16,146x = 202,163,427.76
  5. Step 5: Solve for x
    x = 202,163,427.76/16,146
  6. Step 6: Final answer
    x = 12,520.96

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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.