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Finding the Fourth Proportional to 27,692.64, 38,210.13 and 16,356.39

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Solution

The fourth proportional to 27,692.64, 38,210.13 and 16,356.39 is: 22,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.64 : 38,210.13 = 16,356.39 : x
  2. Step 2: Convert to fraction form
    27,692.64/38,210.13 = 16,356.39/x
  3. Step 3: Cross multiply
    27,692.64x = 38,210.13 × 16,356.39
  4. Step 4: Simplify right side
    27,692.64x = 624,979,788.23
  5. Step 5: Solve for x
    x = 624,979,788.23/27,692.64
  6. Step 6: Final answer
    x = 22,568.44

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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.