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Finding the Fourth Proportional to 16,350.84, 22,563.37 and 9,083.40

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Solution

The fourth proportional to 16,350.84, 22,563.37 and 9,083.40 is: 12,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,350.84 : 22,563.37 = 9,083.40 : x
  2. Step 2: Convert to fraction form
    16,350.84/22,563.37 = 9,083.40/x
  3. Step 3: Cross multiply
    16,350.84x = 22,563.37 × 9,083.40
  4. Step 4: Simplify right side
    16,350.84x = 204,952,115.06
  5. Step 5: Solve for x
    x = 204,952,115.06/16,350.84
  6. Step 6: Final answer
    x = 12,534.65

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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.