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Finding the Fourth Proportional to 22,536, 31,101.12 and 12,600

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Solution

The fourth proportional to 22,536, 31,101.12 and 12,600 is: 17,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536 : 31,101.12 = 12,600 : x
  2. Step 2: Convert to fraction form
    22,536/31,101.12 = 12,600/x
  3. Step 3: Cross multiply
    22,536x = 31,101.12 × 12,600
  4. Step 4: Simplify right side
    22,536x = 391,874,112
  5. Step 5: Solve for x
    x = 391,874,112/22,536
  6. Step 6: Final answer
    x = 17,388.81

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