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Finding the Fourth Proportional to 27,692.32, 38,202.12 and 18,128.02

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Solution

The fourth proportional to 27,692.32, 38,202.12 and 18,128.02 is: 25,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.32 : 38,202.12 = 18,128.02 : x
  2. Step 2: Convert to fraction form
    27,692.32/38,202.12 = 18,128.02/x
  3. Step 3: Cross multiply
    27,692.32x = 38,202.12 × 18,128.02
  4. Step 4: Simplify right side
    27,692.32x = 692,528,795.40
  5. Step 5: Solve for x
    x = 692,528,795.40/27,692.32
  6. Step 6: Final answer
    x = 25,007.97

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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.