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Finding the Fourth Proportional to 20,075.06, 30,096.12 and 7,587.98

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Solution

The fourth proportional to 20,075.06, 30,096.12 and 7,587.98 is: 11,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.06 : 30,096.12 = 7,587.98 : x
  2. Step 2: Convert to fraction form
    20,075.06/30,096.12 = 7,587.98/x
  3. Step 3: Cross multiply
    20,075.06x = 30,096.12 × 7,587.98
  4. Step 4: Simplify right side
    20,075.06x = 228,368,756.64
  5. Step 5: Solve for x
    x = 228,368,756.64/20,075.06
  6. Step 6: Final answer
    x = 11,375.74

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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.