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Finding the Fourth Proportional to 22,787, 31,446.06 and 12,851

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Solution

The fourth proportional to 22,787, 31,446.06 and 12,851 is: 17,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,787 : 31,446.06 = 12,851 : x
  2. Step 2: Convert to fraction form
    22,787/31,446.06 = 12,851/x
  3. Step 3: Cross multiply
    22,787x = 31,446.06 × 12,851
  4. Step 4: Simplify right side
    22,787x = 404,113,317.06
  5. Step 5: Solve for x
    x = 404,113,317.06/22,787
  6. Step 6: Final answer
    x = 17,734.38

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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.