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Finding the Fourth Proportional to 12,283.54, 16,944.78 and 9,294.10

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Solution

The fourth proportional to 12,283.54, 16,944.78 and 9,294.10 is: 12,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.54 : 16,944.78 = 9,294.10 : x
  2. Step 2: Convert to fraction form
    12,283.54/16,944.78 = 9,294.10/x
  3. Step 3: Cross multiply
    12,283.54x = 16,944.78 × 9,294.10
  4. Step 4: Simplify right side
    12,283.54x = 157,486,479.80
  5. Step 5: Solve for x
    x = 157,486,479.80/12,283.54
  6. Step 6: Final answer
    x = 12,820.94

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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.