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Finding the Fourth Proportional to 20,458.50, 28,232.76 and 12,075

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Solution

The fourth proportional to 20,458.50, 28,232.76 and 12,075 is: 16,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.50 : 28,232.76 = 12,075 : x
  2. Step 2: Convert to fraction form
    20,458.50/28,232.76 = 12,075/x
  3. Step 3: Cross multiply
    20,458.50x = 28,232.76 × 12,075
  4. Step 4: Simplify right side
    20,458.50x = 340,910,577
  5. Step 5: Solve for x
    x = 340,910,577/20,458.50
  6. Step 6: Final answer
    x = 16,663.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.