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Finding the Fourth Proportional to 22,310.44, 30,788.40 and 12,374.44

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Solution

The fourth proportional to 22,310.44, 30,788.40 and 12,374.44 is: 17,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.44 : 30,788.40 = 12,374.44 : x
  2. Step 2: Convert to fraction form
    22,310.44/30,788.40 = 12,374.44/x
  3. Step 3: Cross multiply
    22,310.44x = 30,788.40 × 12,374.44
  4. Step 4: Simplify right side
    22,310.44x = 380,989,177.93
  5. Step 5: Solve for x
    x = 380,989,177.93/22,310.44
  6. Step 6: Final answer
    x = 17,076.72

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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.