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Finding the Fourth Proportional to 25,692.28, 38,515.05 and 9,887.23

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Solution

The fourth proportional to 25,692.28, 38,515.05 and 9,887.23 is: 14,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.28 : 38,515.05 = 9,887.23 : x
  2. Step 2: Convert to fraction form
    25,692.28/38,515.05 = 9,887.23/x
  3. Step 3: Cross multiply
    25,692.28x = 38,515.05 × 9,887.23
  4. Step 4: Simplify right side
    25,692.28x = 380,807,157.81
  5. Step 5: Solve for x
    x = 380,807,157.81/25,692.28
  6. Step 6: Final answer
    x = 14,821.85

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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.