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Finding the Fourth Proportional to 25,692.58, 38,538.96 and 7,224.58

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Solution

The fourth proportional to 25,692.58, 38,538.96 and 7,224.58 is: 10,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.58 : 38,538.96 = 7,224.58 : x
  2. Step 2: Convert to fraction form
    25,692.58/38,538.96 = 7,224.58/x
  3. Step 3: Cross multiply
    25,692.58x = 38,538.96 × 7,224.58
  4. Step 4: Simplify right side
    25,692.58x = 278,427,799.64
  5. Step 5: Solve for x
    x = 278,427,799.64/25,692.58
  6. Step 6: Final answer
    x = 10,836.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.