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Finding the Fourth Proportional to 20,692.36, 31,038.49 and 7,539.36

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Solution

The fourth proportional to 20,692.36, 31,038.49 and 7,539.36 is: 11,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.36 : 31,038.49 = 7,539.36 : x
  2. Step 2: Convert to fraction form
    20,692.36/31,038.49 = 7,539.36/x
  3. Step 3: Cross multiply
    20,692.36x = 31,038.49 × 7,539.36
  4. Step 4: Simplify right side
    20,692.36x = 234,010,349.97
  5. Step 5: Solve for x
    x = 234,010,349.97/20,692.36
  6. Step 6: Final answer
    x = 11,309.02

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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.