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Finding the Fourth Proportional to 25,736.88, 38,605.64 and 7,017.84

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Solution

The fourth proportional to 25,736.88, 38,605.64 and 7,017.84 is: 10,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,736.88 : 38,605.64 = 7,017.84 : x
  2. Step 2: Convert to fraction form
    25,736.88/38,605.64 = 7,017.84/x
  3. Step 3: Cross multiply
    25,736.88x = 38,605.64 × 7,017.84
  4. Step 4: Simplify right side
    25,736.88x = 270,928,204.62
  5. Step 5: Solve for x
    x = 270,928,204.62/25,736.88
  6. Step 6: Final answer
    x = 10,526.85

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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.