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Finding the Fourth Proportional to 15,692.80, 23,539.20 and 9,131.80

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Solution

The fourth proportional to 15,692.80, 23,539.20 and 9,131.80 is: 13,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.80 : 23,539.20 = 9,131.80 : x
  2. Step 2: Convert to fraction form
    15,692.80/23,539.20 = 9,131.80/x
  3. Step 3: Cross multiply
    15,692.80x = 23,539.20 × 9,131.80
  4. Step 4: Simplify right side
    15,692.80x = 214,955,266.56
  5. Step 5: Solve for x
    x = 214,955,266.56/15,692.80
  6. Step 6: Final answer
    x = 13,697.70

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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.