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Finding the Fourth Proportional to 16,227.84, 22,394.56 and 9,513.60

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Solution

The fourth proportional to 16,227.84, 22,394.56 and 9,513.60 is: 13,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.84 : 22,394.56 = 9,513.60 : x
  2. Step 2: Convert to fraction form
    16,227.84/22,394.56 = 9,513.60/x
  3. Step 3: Cross multiply
    16,227.84x = 22,394.56 × 9,513.60
  4. Step 4: Simplify right side
    16,227.84x = 213,052,886.02
  5. Step 5: Solve for x
    x = 213,052,886.02/16,227.84
  6. Step 6: Final answer
    x = 13,128.85

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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.