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Finding the Fourth Proportional to 22,902.93, 31,604.04 and 12,830.04

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Solution

The fourth proportional to 22,902.93, 31,604.04 and 12,830.04 is: 17,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.93 : 31,604.04 = 12,830.04 : x
  2. Step 2: Convert to fraction form
    22,902.93/31,604.04 = 12,830.04/x
  3. Step 3: Cross multiply
    22,902.93x = 31,604.04 × 12,830.04
  4. Step 4: Simplify right side
    22,902.93x = 405,481,097.36
  5. Step 5: Solve for x
    x = 405,481,097.36/22,902.93
  6. Step 6: Final answer
    x = 17,704.33

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1.5x scale

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.