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Finding the Fourth Proportional to 22,893.74, 31,592.99 and 12,822.09

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Solution

The fourth proportional to 22,893.74, 31,592.99 and 12,822.09 is: 17,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.74 : 31,592.99 = 12,822.09 : x
  2. Step 2: Convert to fraction form
    22,893.74/31,592.99 = 12,822.09/x
  3. Step 3: Cross multiply
    22,893.74x = 31,592.99 × 12,822.09
  4. Step 4: Simplify right side
    22,893.74x = 405,088,097.04
  5. Step 5: Solve for x
    x = 405,088,097.04/22,893.74
  6. Step 6: Final answer
    x = 17,694.28

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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.