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Finding the Fourth Proportional to 16,595.53, 22,902.38 and 9,042.46

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Solution

The fourth proportional to 16,595.53, 22,902.38 and 9,042.46 is: 12,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,595.53 : 22,902.38 = 9,042.46 : x
  2. Step 2: Convert to fraction form
    16,595.53/22,902.38 = 9,042.46/x
  3. Step 3: Cross multiply
    16,595.53x = 22,902.38 × 9,042.46
  4. Step 4: Simplify right side
    16,595.53x = 207,093,855.05
  5. Step 5: Solve for x
    x = 207,093,855.05/16,595.53
  6. Step 6: Final answer
    x = 12,478.89

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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.