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Finding the Fourth Proportional to 25,735.50, 38,605.50 and 7,267.50

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Solution

The fourth proportional to 25,735.50, 38,605.50 and 7,267.50 is: 10,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735.50 : 38,605.50 = 7,267.50 : x
  2. Step 2: Convert to fraction form
    25,735.50/38,605.50 = 7,267.50/x
  3. Step 3: Cross multiply
    25,735.50x = 38,605.50 × 7,267.50
  4. Step 4: Simplify right side
    25,735.50x = 280,565,471.25
  5. Step 5: Solve for x
    x = 280,565,471.25/25,735.50
  6. Step 6: Final answer
    x = 10,901.89

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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.