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Finding the Fourth Proportional to 16,145.96, 22,281.72 and 9,072.38

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Solution

The fourth proportional to 16,145.96, 22,281.72 and 9,072.38 is: 12,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.96 : 22,281.72 = 9,072.38 : x
  2. Step 2: Convert to fraction form
    16,145.96/22,281.72 = 9,072.38/x
  3. Step 3: Cross multiply
    16,145.96x = 22,281.72 × 9,072.38
  4. Step 4: Simplify right side
    16,145.96x = 202,148,230.89
  5. Step 5: Solve for x
    x = 202,148,230.89/16,145.96
  6. Step 6: Final answer
    x = 12,520.05

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Why These Related Problems?

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