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Finding the Fourth Proportional to 16,370.78, 22,591.83 and 9,297.25

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Solution

The fourth proportional to 16,370.78, 22,591.83 and 9,297.25 is: 12,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370.78 : 22,591.83 = 9,297.25 : x
  2. Step 2: Convert to fraction form
    16,370.78/22,591.83 = 9,297.25/x
  3. Step 3: Cross multiply
    16,370.78x = 22,591.83 × 9,297.25
  4. Step 4: Simplify right side
    16,370.78x = 210,041,788.50
  5. Step 5: Solve for x
    x = 210,041,788.50/16,370.78
  6. Step 6: Final answer
    x = 12,830.29

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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.