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Finding the Fourth Proportional to 22,563, 31,136.94 and 12,627

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Solution

The fourth proportional to 22,563, 31,136.94 and 12,627 is: 17,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563 : 31,136.94 = 12,627 : x
  2. Step 2: Convert to fraction form
    22,563/31,136.94 = 12,627/x
  3. Step 3: Cross multiply
    22,563x = 31,136.94 × 12,627
  4. Step 4: Simplify right side
    22,563x = 393,166,141.38
  5. Step 5: Solve for x
    x = 393,166,141.38/22,563
  6. Step 6: Final answer
    x = 17,425.26

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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.