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Finding the Fourth Proportional to 16,370.33, 22,591.08 and 9,296.78

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Solution

The fourth proportional to 16,370.33, 22,591.08 and 9,296.78 is: 12,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370.33 : 22,591.08 = 9,296.78 : x
  2. Step 2: Convert to fraction form
    16,370.33/22,591.08 = 9,296.78/x
  3. Step 3: Cross multiply
    16,370.33x = 22,591.08 × 9,296.78
  4. Step 4: Simplify right side
    16,370.33x = 210,024,187.77
  5. Step 5: Solve for x
    x = 210,024,187.77/16,370.33
  6. Step 6: Final answer
    x = 12,829.57

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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.